112011264 has 144 divisors (see below), whose sum is σ = 332186400. Its totient is φ = 36347904.

The previous prime is 112011241. The next prime is 112011269. The reversal of 112011264 is 462110211.

112011264 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112011269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087437 + ... + 1087539.

It is an arithmetic number, because the mean of its divisors is an integer number (2306850).

Almost surely, 2^112011264 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 112011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166093200).

112011264 is an abundant number, since it is smaller than the sum of its proper divisors (220175136).

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

112011264 is a wasteful number, since it uses less digits than its factorization.

112011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112011264 is about 10583.5374048567. The cubic root of 112011264 is about 482.0446117234.

Adding to 112011264 its reverse (462110211), we get a palindrome (574121475).

The spelling of 112011264 in words is "one hundred twelve million, eleven thousand, two hundred sixty-four".