112311264 has 96 divisors (see below), whose sum is σ = 327849984. Its totient is φ = 33431040.

The previous prime is 112311263. The next prime is 112311271. The reversal of 112311264 is 462113211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112311264² = 25227640042555392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112311264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311263) 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, 37237 + ... + 40139.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^112311264 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 112311264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

112311264 is an abundant number, since it is smaller than the sum of its proper divisors (215538720).

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

112311264 is a wasteful number, since it uses less digits than its factorization.

112311264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2952 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 112311264 is about 10597.7008827387. The cubic root of 112311264 is about 482.4745817818.

Adding to 112311264 its reverse (462113211), we get a palindrome (574424475).

It can be divided in two parts, 112311 and 264, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 112311264 in words is "one hundred twelve million, three hundred eleven thousand, two hundred sixty-four".