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12111642612 = 223472751419
BaseRepresentation
bin10110100011110100…
…01111111111110100
31011021002012012020000
423101322033333310
5144301040030422
65321454311300
7606065156256
oct132172177764
934232165200
1012111642612
1151557853a3
1224201b8530
1311b0323744
1482c79dcd6
154ad474cac
hex2d1e8fff4

12111642612 has 60 divisors (see below), whose sum is σ = 31706394720. Its totient is φ = 4031582544.

The previous prime is 12111642607. The next prime is 12111642623. The reversal of 12111642612 is 21624611121.

12111642612 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 6 + 42 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209839 + ... + 261257.

It is an arithmetic number, because the mean of its divisors is an integer number (528439912).

Almost surely, 212111642612 is an apocalyptic number.

12111642612 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 12111642612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853197360).

12111642612 is an abundant number, since it is smaller than the sum of its proper divisors (19594752108).

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

12111642612 is a wasteful number, since it uses less digits than its factorization.

12111642612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52162 (or 52151 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The spelling of 12111642612 in words is "twelve billion, one hundred eleven million, six hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 727 1454 2181 2908 4362 6543 8724 13086 19629 26172 39258 51419 58887 78516 102838 117774 154257 205676 235548 308514 462771 617028 925542 1388313 1851084 2776626 4164939 5553252 8329878 16659756 37381613 74763226 112144839 149526452 224289678 336434517 448579356 672869034 1009303551 1345738068 2018607102 3027910653 4037214204 6055821306 12111642612