12157044075121 has 32 divisors (see below), whose sum is σ = 14183754791040. Its totient is φ = 10297047168000.

The previous prime is 12157044075109. The next prime is 12157044075217.

It is a happy number.

12157044075121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12157044075121 - 2⁵ = 12157044075089 is a prime.

It is a super-2 number, since 2×12157044075121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12157044075101) 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 31 ways as a sum of consecutive naturals, for example, 120618670 + ... + 120719416.

It is an arithmetic number, because the mean of its divisors is an integer number (443242337220).

Almost surely, 2^{12157044075121} is an apocalyptic number.

12157044075121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12157044075121 is a deficient number, since it is larger than the sum of its proper divisors (2026710715919).

12157044075121 is a wasteful number, since it uses less digits than its factorization.

12157044075121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107265.

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 12157044075121 in words is "twelve trillion, one hundred fifty-seven billion, forty-four million, seventy-five thousand, one hundred twenty-one".