12156261404160 has 160 divisors (see below), whose sum is σ = 39595295694240. Its totient is φ = 3180506021888.

The previous prime is 12156261404093. The next prime is 12156261404173. The reversal of 12156261404160 is 6140416265121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×12156261404160³ (a number of 40 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14525475 + ... + 15339554.

It is an arithmetic number, because the mean of its divisors is an integer number (247470598089).

Almost surely, 2^{12156261404160} is an apocalyptic number.

12156261404160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12156261404160 is an abundant number, since it is smaller than the sum of its proper divisors (27439034290080).

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

12156261404160 is an equidigital number, since it uses as much as digits as its factorization.

12156261404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29865108 (or 29865092 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 12156261404160 its reverse (6140416265121), we get a palindrome (18296677669281).

The spelling of 12156261404160 in words is "twelve trillion, one hundred fifty-six billion, two hundred sixty-one million, four hundred four thousand, one hundred sixty".