12692900 has 54 divisors (see below), whose sum is σ = 30304050. Its totient is φ = 4611200.

The previous prime is 12692881. The next prime is 12692921. The reversal of 12692900 is 929621.

It can be written as a sum of positive squares in 3 ways, for example, as 2795584 + 9897316 = 1672^2 + 3146^2 .

It is a super-2 number, since 2×12692900² = 322219420820000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 11576 + ... + 12624.

Almost surely, 2^12692900 is an apocalyptic number.

12692900 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 12692900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152025).

12692900 is an abundant number, since it is smaller than the sum of its proper divisors (17611150).

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

12692900 is a wasteful number, since it uses less digits than its factorization.

12692900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 12692900 is about 3562.7096429544. The cubic root of 12692900 is about 233.2671694490.

The spelling of 12692900 in words is "twelve million, six hundred ninety-two thousand, nine hundred".