12152857600 has 297 divisors, whose sum is σ = 33246962553. Its totient is φ = 4402544640.

The previous prime is 12152857597. The next prime is 12152857631. The reversal of 12152857600 is 675825121.

The square root of 12152857600 is 110240.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9544508416 + 2608349184 = 97696^2 + 51072^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12152857600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229299174 + ... + 229299226.

Almost surely, 2^12152857600 is an apocalyptic number.

12152857600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12152857600 is the 110240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152857600

12152857600 is an abundant number, since it is smaller than the sum of its proper divisors (21094104953).

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

12152857600 is an equidigital number, since it uses as much as digits as its factorization.

12152857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 12152857600 in words is "twelve billion, one hundred fifty-two million, eight hundred fifty-seven thousand, six hundred".