Search a number
-
+
12114771312 = 243765954713
BaseRepresentation
bin10110100100001100…
…01011110101110000
31011021022002010222210
423102012023311300
5144302340140222
65322045332120
7606133566660
oct132206136560
934238063883
1012114771312
115157521aa6
122421267040
1311b0b7a847
1482cd761a0
154ad891d0c
hex2d218bd70

12114771312 has 80 divisors (see below), whose sum is σ = 35822350080. Its totient is φ = 3456047616.

The previous prime is 12114771311. The next prime is 12114771337. The reversal of 12114771312 is 21317741121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12114771312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114771311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194068 + ... + 248780.

It is an arithmetic number, because the mean of its divisors is an integer number (447779376).

Almost surely, 212114771312 is an apocalyptic number.

12114771312 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 12114771312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911175040).

12114771312 is an abundant number, since it is smaller than the sum of its proper divisors (23707578768).

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

12114771312 is a wasteful number, since it uses less digits than its factorization.

12114771312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55390 (or 55384 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The spelling of 12114771312 in words is "twelve billion, one hundred fourteen million, seven hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 659 1318 1977 2636 3954 4613 5272 7908 9226 10544 13839 15816 18452 27678 31632 36904 54713 55356 73808 109426 110712 164139 218852 221424 328278 382991 437704 656556 765982 875408 1148973 1313112 1531964 2297946 2626224 3063928 4595892 6127856 9191784 18383568 36055867 72111734 108167601 144223468 216335202 252391069 288446936 432670404 504782138 576893872 757173207 865340808 1009564276 1514346414 1730681616 2019128552 3028692828 4038257104 6057385656 12114771312