11992500 has 180 divisors, whose sum is σ = 41789748. Its totient is φ = 2880000.

The previous prime is 11992493. The next prime is 11992511. The reversal of 11992500 is 529911.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 11985444 + 7056 = 3462^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 292480 + ... + 292520.

Almost surely, 2^11992500 is an apocalyptic number.

11992500 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 11992500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894874).

11992500 is an abundant number, since it is smaller than the sum of its proper divisors (29797248).

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

11992500 is a wasteful number, since it uses less digits than its factorization.

11992500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 11992500 is about 3463.0189141846. The cubic root of 11992500 is about 228.8951421437.

The spelling of 11992500 in words is "eleven million, nine hundred ninety-two thousand, five hundred".