11972100 has 72 divisors (see below), whose sum is σ = 39594688. Its totient is φ = 2736000.

The previous prime is 11972083. The next prime is 11972101. The reversal of 11972100 is 127911.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11972101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 751 + ... + 4950.

Almost surely, 2^11972100 is an apocalyptic number.

11972100 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 11972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19797344).

11972100 is an abundant number, since it is smaller than the sum of its proper divisors (27622588).

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

11972100 is a wasteful number, since it uses less digits than its factorization.

11972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 11972100 is about 3460.0722535808. The cubic root of 11972100 is about 228.7652801164.

The spelling of 11972100 in words is "eleven million, nine hundred seventy-two thousand, one hundred".