12157394960 has 80 divisors (see below), whose sum is σ = 29965711536. Its totient is φ = 4571234304.

The previous prime is 12157394923. The next prime is 12157394987. The reversal of 12157394960 is 6949375121.

It can be written as a sum of positive squares in 8 ways, for example, as 1648684816 + 10508710144 = 40604^2 + 102512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187624 + ... + 1197816.

Almost surely, 2^12157394960 is an apocalyptic number.

12157394960 is a gapful number since it is divisible by the number (10) 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 12157394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982855768).

12157394960 is an abundant number, since it is smaller than the sum of its proper divisors (17808316576).

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

12157394960 is a wasteful number, since it uses less digits than its factorization.

12157394960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 12157394960 in words is "twelve billion, one hundred fifty-seven million, three hundred ninety-four thousand, nine hundred sixty".