12152405160900 has 81 divisors (see below), whose sum is σ = 38091366649063. Its totient is φ = 3240613488000.

The previous prime is 12152405160881. The next prime is 12152405160941. The reversal of 12152405160900 is 906150425121.

The square root of 12152405160900 is 3486030.

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

12152405160900 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 40 + 5 + 1 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1303392122244 + 10849013038656 = 1141662^2 + 3293784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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, 104522800 + ... + 104639000.

Almost surely, 2^{12152405160900} is an apocalyptic number.

12152405160900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12152405160900 is the 3486030-th square number.

It is an amenable number.

12152405160900 is an abundant number, since it is smaller than the sum of its proper divisors (25938961488163).

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

12152405160900 is an frugal number, since it uses more digits than its factorization.

12152405160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232422 (or 116211 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 12152405160900 by its sum of digits (36), we get a square (437486585792400 = 20916180²).

12152405160900 divided by its sum of digits (36) gives a square (337566810025 = 581005²).

The spelling of 12152405160900 in words is "twelve trillion, one hundred fifty-two billion, four hundred five million, one hundred sixty thousand, nine hundred".