12911776900 has 81 divisors (see below), whose sum is σ = 30827097903. Its totient is φ = 4690646400.

The previous prime is 12911776877. The next prime is 12911776919. The reversal of 12911776900 is 967711921.

The square root of 12911776900 is 113630.

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 2509408836 + 10402368064 = 50094^2 + 101992^2 .

It is a super-2 number, since 2×12911776900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12498784 + ... + 12499816.

Almost surely, 2^12911776900 is an apocalyptic number.

12911776900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12911776900 is the 113630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12911776900

12911776900 is an abundant number, since it is smaller than the sum of its proper divisors (17915321003).

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

12911776900 is a wasteful number, since it uses less digits than its factorization.

12911776900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 43.

The spelling of 12911776900 in words is "twelve billion, nine hundred eleven million, seven hundred seventy-six thousand, nine hundred".