11953312 has 96 divisors (see below), whose sum is σ = 29538432. Its totient is φ = 4644864.

The previous prime is 11953301. The next prime is 11953313. The reversal of 11953312 is 21335911.

It is not an unprimeable number, because it can be changed into a prime (11953313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163708 + ... + 163780.

It is an arithmetic number, because the mean of its divisors is an integer number (307692).

Almost surely, 2^11953312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769216).

11953312 is an abundant number, since it is smaller than the sum of its proper divisors (17585120).

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

11953312 is a wasteful number, since it uses less digits than its factorization.

11953312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 11953312 is about 3457.3562153761. The cubic root of 11953312 is about 228.6455491760.

The spelling of 11953312 in words is "eleven million, nine hundred fifty-three thousand, three hundred twelve".