12807448900 has 27 divisors (see below), whose sum is σ = 27794620119. Its totient is φ = 5122526880.

The previous prime is 12807448897. The next prime is 12807448931. The reversal of 12807448900 is 984470821.

The square root of 12807448900 is 113170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2669375556 + 10138073344 = 51666^2 + 100688^2 .

It is a super-2 number, since 2×12807448900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1126042 + ... + 1137358.

Almost surely, 2^12807448900 is an apocalyptic number.

12807448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12807448900 is the 113170-th square number.

It is an amenable number.

12807448900 is an abundant number, since it is smaller than the sum of its proper divisors (14987171219).

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

12807448900 is an frugal number, since it uses more digits than its factorization.

12807448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22648 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 12807448900 in words is "twelve billion, eight hundred seven million, four hundred forty-eight thousand, nine hundred".