12872908800 has 510 divisors, whose sum is σ = 48181437458. Its totient is φ = 3397386240.

The previous prime is 12872908799. The next prime is 12872908831. The reversal of 12872908800 is 880927821.

It is a happy number.

12872908800 is a `hidden beast` number, since 1 + 287 + 290 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 642318336 + 12230590464 = 25344^2 + 110592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 132710352 + ... + 132710448.

Almost surely, 2^12872908800 is an apocalyptic number.

12872908800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12872908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24090718729).

12872908800 is an abundant number, since it is smaller than the sum of its proper divisors (35308528658).

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

12872908800 is an frugal number, since it uses more digits than its factorization.

12872908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12872908800 in words is "twelve billion, eight hundred seventy-two million, nine hundred eight thousand, eight hundred".