12155516160 has 288 divisors, whose sum is σ = 39829939968. Its totient is φ = 3158507520.

The previous prime is 12155516159. The next prime is 12155516183. The reversal of 12155516160 is 6161555121.

It is a super-2 number, since 2×12155516160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28872750 + ... + 28873170.

Almost surely, 2^12155516160 is an apocalyptic number.

12155516160 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 12155516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914969984).

12155516160 is an abundant number, since it is smaller than the sum of its proper divisors (27674423808).

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

12155516160 is a wasteful number, since it uses less digits than its factorization.

12155516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The spelling of 12155516160 in words is "twelve billion, one hundred fifty-five million, five hundred sixteen thousand, one hundred sixty".