12157039706112 has 1792 divisors, whose sum is σ = 45384612768000. Its totient is φ = 3178424696832.

The previous prime is 12157039706101. The next prime is 12157039706143. The reversal of 12157039706112 is 21160793075121.

12157039706112 is a `hidden beast` number, since 1 + 2 + 1 + 570 + 3 + 9 + 7 + 0 + 61 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×12157039706112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 111532474314 + ... + 111532474422.

Almost surely, 2^{12157039706112} is an apocalyptic number.

12157039706112 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 12157039706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692306384000).

12157039706112 is an abundant number, since it is smaller than the sum of its proper divisors (33227573061888).

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

12157039706112 is an frugal number, since it uses more digits than its factorization.

12157039706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12157039706112 in words is "twelve trillion, one hundred fifty-seven billion, thirty-nine million, seven hundred six thousand, one hundred twelve".