11952900 has 144 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3006720.

The previous prime is 11952883. The next prime is 11952907. The reversal of 11952900 is 925911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11952907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51184 + ... + 51416.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 2^11952900 is an apocalyptic number.

11952900 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 11952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

11952900 is an abundant number, since it is smaller than the sum of its proper divisors (28669500).

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

11952900 is a wasteful number, since it uses less digits than its factorization.

11952900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

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

The square root of 11952900 is about 3457.2966317630. The cubic root of 11952900 is about 228.6429222040.

It can be divided in two parts, 1195 and 2900, that added together give a triangular number (4095 = T₉₀).

The spelling of 11952900 in words is "eleven million, nine hundred fifty-two thousand, nine hundred".