112212864 has 160 divisors (see below), whose sum is σ = 340639200. Its totient is φ = 36661248.

The previous prime is 112212857. The next prime is 112212887. The reversal of 112212864 is 468212211.

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

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 819004 + ... + 819140.

It is an arithmetic number, because the mean of its divisors is an integer number (2128995).

Almost surely, 2^112212864 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 112212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170319600).

112212864 is an abundant number, since it is smaller than the sum of its proper divisors (228426336).

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

112212864 is an equidigital number, since it uses as much as digits as its factorization.

112212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 112212864 is about 10593.0573490376. The cubic root of 112212864 is about 482.3336360775. Note that the first 3 decimals are identical.

The spelling of 112212864 in words is "one hundred twelve million, two hundred twelve thousand, eight hundred sixty-four".