11872900 has 36 divisors (see below), whose sum is σ = 27749092. Its totient is φ = 4383360.

The previous prime is 11872879. The next prime is 11872951. The reversal of 11872900 is 927811.

11872900 = T₉₁ + T₉₂ + ... + T₄₁₅.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 11505664 = 606^2 + 3392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3267 + ... + 5866.

Almost surely, 2^11872900 is an apocalyptic number.

11872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11872900 is an abundant number, since it is smaller than the sum of its proper divisors (15876192).

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

11872900 is a wasteful number, since it uses less digits than its factorization.

11872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 11872900 is about 3445.7074745254. The cubic root of 11872900 is about 228.1316824214.

The spelling of 11872900 in words is "eleven million, eight hundred seventy-two thousand, nine hundred".