Search a number
-
+
1222011121120 = 255193337117427
BaseRepresentation
bin10001110010000101100…
…010011110110111100000
311022211020001111220202121
4101302011202132313200
5130010134321333440
62333214551154024
7154200401100556
oct21620542366740
94284201456677
101222011121120
11431285469189
12178a01075914
138b30983192a
1443207961bd6
1521bc22b434a
hex11c8589ede0

1222011121120 has 96 divisors (see below), whose sum is σ = 2910595772448. Its totient is φ = 484824711168.

The previous prime is 1222011121021. The next prime is 1222011121129. The reversal of 1222011121120 is 211211102221.

It is a super-2 number, since 2×12220111211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1222011121094 and 1222011121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222011121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10347847 + ... + 10465273.

It is an arithmetic number, because the mean of its divisors is an integer number (30318705963).

Almost surely, 21222011121120 is an apocalyptic number.

1222011121120 is a gapful number since it is divisible by the number (10) 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 1222011121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455297886224).

1222011121120 is an abundant number, since it is smaller than the sum of its proper divisors (1688584651328).

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

1222011121120 is a wasteful number, since it uses less digits than its factorization.

1222011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117972 (or 117964 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1222011121120 its reverse (211211102221), we get a palindrome (1433222223341).

The spelling of 1222011121120 in words is "one trillion, two hundred twenty-two billion, eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 337 386 674 772 965 1348 1544 1685 1930 2696 3088 3370 3860 5392 6176 6740 7720 10784 13480 15440 26960 30880 53920 65041 117427 130082 234854 260164 325205 469708 520328 587135 650410 939416 1040656 1174270 1300820 1878832 2081312 2348540 2601640 3757664 4697080 5203280 9394160 10406560 18788320 22663411 39572899 45326822 79145798 90653644 113317055 158291596 181307288 197864495 226634110 316583192 362614576 395728990 453268220 633166384 725229152 791457980 906536440 1266332768 1582915960 1813072880 3165831920 3626145760 6331663840 7637569507 15275139014 30550278028 38187847535 61100556056 76375695070 122201112112 152751390140 244402224224 305502780280 611005560560 1222011121120