12657150016 has 147 divisors (see below), whose sum is σ = 30034713997. Its totient is φ = 5292188160.

The previous prime is 12657149971. The next prime is 12657150019. The reversal of 12657150016 is 61005175621.

The square root of 12657150016 is 112504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 609892416 + 12047257600 = 24696^2 + 109760^2 .

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12657150019) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 308710956 + ... + 308710996.

Almost surely, 2^12657150016 is an apocalyptic number.

12657150016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12657150016 is the 112504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12657150016

12657150016 is an abundant number, since it is smaller than the sum of its proper divisors (17377563981).

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

12657150016 is an frugal number, since it uses more digits than its factorization.

12657150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 12657150016 in words is "twelve billion, six hundred fifty-seven million, one hundred fifty thousand, sixteen".