11972900 has 36 divisors (see below), whose sum is σ = 26383728. Its totient is φ = 4715040.

The previous prime is 11972899. The next prime is 11972953. The reversal of 11972900 is 927911.

11972900 = 680² + 681² + ... + 704².

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 11 ways as a sum of consecutive naturals, for example, 5807 + ... + 7593.

Almost surely, 2^11972900 is an apocalyptic number.

11972900 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 11972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191864).

11972900 is an abundant number, since it is smaller than the sum of its proper divisors (14410828).

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

11972900 is a wasteful number, since it uses less digits than its factorization.

11972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 11972900 is about 3460.1878561720. The cubic root of 11972900 is about 228.7703755229.

The spelling of 11972900 in words is "eleven million, nine hundred seventy-two thousand, nine hundred".