Search a number
-
+
11412122143212 = 2232769170193491
BaseRepresentation
bin1010011000010001011101…
…1111001000100111101100
31111101222200102011201122100
42212010113133020213230
52443434011232040322
640134353451215100
72255333011456620
oct246042737104754
944358612151570
1011412122143212
1136aa94348898a
1213438b4747490
1364a20a2c14ab
142b64c766d180
1514bcc73eddac
hexa61177c89ec

11412122143212 has 144 divisors (see below), whose sum is σ = 33063516105984. Its totient is φ = 3251208240000.

The previous prime is 11412122143171. The next prime is 11412122143217. The reversal of 11412122143212 is 21234122121411.

11412122143212 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 1 + 221 + 432 + 1 + 2 = 666.

11412122143212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×114121221432123 (a number of 40 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11412122143217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122019787 + ... + 122113277.

It is an arithmetic number, because the mean of its divisors is an integer number (229607750736).

Almost surely, 211412122143212 is an apocalyptic number.

11412122143212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412122143212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531758052992).

11412122143212 is an abundant number, since it is smaller than the sum of its proper divisors (21651393962772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11412122143212 is a wasteful number, since it uses less digits than its factorization.

11412122143212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94900 (or 94895 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 11412122143212 its reverse (21234122121411), we get a palindrome (32646244264623).

The spelling of 11412122143212 in words is "eleven trillion, four hundred twelve billion, one hundred twenty-two million, one hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 691 701 1382 1402 2073 2103 2764 2804 4146 4206 4837 4907 6219 6309 8292 8412 9674 9814 12438 12618 14511 14721 19348 19628 24876 25236 29022 29442 43533 44163 58044 58884 87066 88326 93491 174132 176652 186982 280473 373964 484391 560946 654437 841419 968782 1121892 1308874 1453173 1682838 1937564 1963311 2617748 2906346 3365676 3390737 3926622 4359519 5812692 5889933 6781474 7853244 8719038 10172211 11779866 13562948 17438076 20344422 23559732 30516633 40688844 61033266 64602281 65537191 122066532 129204562 131074382 193806843 196611573 258409124 262148764 387613686 393223146 452215967 458760337 581420529 589834719 775227372 786446292 904431934 917520674 1162841058 1179669438 1356647901 1376281011 1808863868 1835041348 2325682116 2359338876 2713295802 2752562022 4069943703 4128843033 5426591604 5505124044 8139887406 8257686066 16279774812 16515372132 45286198981 90572397962 135858596943 181144795924 271717193886 317003392867 407575790829 543434387772 634006785734 815151581658 951010178601 1268013571468 1630303163316 1902020357202 2853030535803 3804040714404 5706061071606 11412122143212