11312140 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3612672.

The previous prime is 11312111. The next prime is 11312177. The reversal of 11312140 is 4121311.

It is a super-2 number, since 2×11312140² = 255929022759200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11312140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116572 + ... + 116668.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 2^11312140 is an apocalyptic number.

11312140 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 11312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11312140 is an abundant number, since it is smaller than the sum of its proper divisors (18323060).

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

11312140 is a wasteful number, since it uses less digits than its factorization.

11312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11312140 is about 3363.3524941641. The cubic root of 11312140 is about 224.4820348618.

Adding to 11312140 its reverse (4121311), we get a palindrome (15433451).

The spelling of 11312140 in words is "eleven million, three hundred twelve thousand, one hundred forty".