12157017418481 has 8 divisors (see below), whose sum is σ = 13543626832680. Its totient is φ = 10834901465472.

The previous prime is 12157017418451. The next prime is 12157017418489. The reversal of 12157017418481 is 18481471075121.

12157017418481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 759540138256 + 11397477280225 = 871516^2 + 3376015^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12157017418481 - 2³⁸ = 11882139511537 is a prime.

It is a super-2 number, since 2×12157017418481² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12157017418489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16123364900 + ... + 16123365653.

It is an arithmetic number, because the mean of its divisors is an integer number (1692953354085).

Almost surely, 2^{12157017418481} is an apocalyptic number.

It is an amenable number.

12157017418481 is a deficient number, since it is larger than the sum of its proper divisors (1386609414199).

12157017418481 is a wasteful number, since it uses less digits than its factorization.

12157017418481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32246730595.

The product of its (nonzero) digits is 501760, while the sum is 50.

The spelling of 12157017418481 in words is "twelve trillion, one hundred fifty-seven billion, seventeen million, four hundred eighteen thousand, four hundred eighty-one".