112215120 has 80 divisors (see below), whose sum is σ = 348936000. Its totient is φ = 29832192.

The previous prime is 112215119. The next prime is 112215127. The reversal of 112215120 is 21512211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112215120² = 25184466313228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112215120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112215127) 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, 119292 + ... + 120228.

It is an arithmetic number, because the mean of its divisors is an integer number (4361700).

Almost surely, 2^112215120 is an apocalyptic number.

112215120 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 112215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174468000).

112215120 is an abundant number, since it is smaller than the sum of its proper divisors (236720880).

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

112215120 is a wasteful number, since it uses less digits than its factorization.

112215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 112215120 is about 10593.1638333408. The cubic root of 112215120 is about 482.3368684383.

Adding to 112215120 its reverse (21512211), we get a palindrome (133727331).

The spelling of 112215120 in words is "one hundred twelve million, two hundred fifteen thousand, one hundred twenty".