12620275600 has 135 divisors (see below), whose sum is σ = 31306267321. Its totient is φ = 4889036800.

The previous prime is 12620275537. The next prime is 12620275637. The reversal of 12620275600 is 657202621.

The square root of 12620275600 is 112340.

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 12270435984 + 349839616 = 110772^2 + 18704^2 .

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, 92118732 + ... + 92118868.

Almost surely, 2^12620275600 is an apocalyptic number.

12620275600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12620275600 is the 112340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12620275600

12620275600 is an abundant number, since it is smaller than the sum of its proper divisors (18685991721).

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

12620275600 is an equidigital number, since it uses as much as digits as its factorization.

12620275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 12620275600 in words is "twelve billion, six hundred twenty million, two hundred seventy-five thousand, six hundred".