12888100 has 27 divisors (see below), whose sum is σ = 28045297. Its totient is φ = 5140880.

The previous prime is 12888079. The next prime is 12888121. The reversal of 12888100 is 188821.

The square root of 12888100 is 3590.

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

It is an interprime number because it is at equal distance from previous prime (12888079) and next prime (12888121).

It can be written as a sum of positive squares in only one way, i.e., 4639716 + 8248384 = 2154^2 + 2872^2 .

It is a super-2 number, since 2×12888100² = 332206243220000, which 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, 35721 + ... + 36079.

Almost surely, 2^12888100 is an apocalyptic number.

12888100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12888100 is the 3590-th square number.

It is an amenable number.

12888100 is an abundant number, since it is smaller than the sum of its proper divisors (15157197).

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

12888100 is an equidigital number, since it uses as much as digits as its factorization.

12888100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The cubic root of 12888100 is about 234.4568715456.

Multiplying 12888100 by its product of nonzero digits (1024), we get a square (13197414400 = 114880²).

The spelling of 12888100 in words is "twelve million, eight hundred eighty-eight thousand, one hundred".