12157105512 has 128 divisors (see below), whose sum is σ = 31762114560. Its totient is φ = 3874590720.

The previous prime is 12157105463. The next prime is 12157105523. The reversal of 12157105512 is 21550175121.

It is a self number, because there is not a number n which added to its sum of digits gives 12157105512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13344337 + ... + 13345247.

It is an arithmetic number, because the mean of its divisors is an integer number (248141520).

Almost surely, 2^12157105512 is an apocalyptic number.

12157105512 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 12157105512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881057280).

12157105512 is an abundant number, since it is smaller than the sum of its proper divisors (19605009048).

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

12157105512 is a wasteful number, since it uses less digits than its factorization.

12157105512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 30.

The spelling of 12157105512 in words is "twelve billion, one hundred fifty-seven million, one hundred five thousand, five hundred twelve".