12800223507600 has 135 divisors (see below), whose sum is σ = 44421076146603. Its totient is φ = 3413335691520.

The previous prime is 12800223507569. The next prime is 12800223507623. The reversal of 12800223507600 is 670532200821.

The square root of 12800223507600 is 3577740.

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

12800223507600 is a `hidden beast` number, since 1 + 28 + 0 + 0 + 2 + 23 + 5 + 0 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158273482896 + 12641950024704 = 397836^2 + 3555552^2 .

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

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, 214634586 + ... + 214694214.

Almost surely, 2^{12800223507600} is an apocalyptic number.

12800223507600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12800223507600 is the 3577740-th square number.

It is an amenable number.

12800223507600 is an abundant number, since it is smaller than the sum of its proper divisors (31620852639003).

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

12800223507600 is an frugal number, since it uses more digits than its factorization.

12800223507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119282 (or 59639 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 12800223507600 by its sum of digits (36), we get a square (460808046273600 = 21466440²).

12800223507600 divided by its sum of digits (36) gives a square (355561764100 = 596290²).

The spelling of 12800223507600 in words is "twelve trillion, eight hundred billion, two hundred twenty-three million, five hundred seven thousand, six hundred".