12880418544900 has 135 divisors (see below), whose sum is σ = 41754275438799. Its totient is φ = 3434692144320.

The previous prime is 12880418544859. The next prime is 12880418544907. The reversal of 12880418544900 is 944581408821.

The square root of 12880418544900 is 3588930.

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

12880418544900 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 0 + 4 + 1 + 8 + 544 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3351294067716 + 9529124477184 = 1830654^2 + 3086928^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12880418544907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 322983762 + ... + 323023638.

Almost surely, 2^{12880418544900} is an apocalyptic number.

12880418544900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12880418544900 is the 3588930-th square number.

It is an amenable number.

12880418544900 is an abundant number, since it is smaller than the sum of its proper divisors (28873856893899).

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

12880418544900 is an frugal number, since it uses more digits than its factorization.

12880418544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79780 (or 39887 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 12880418544900 in words is "twelve trillion, eight hundred eighty billion, four hundred eighteen million, five hundred forty-four thousand, nine hundred".