112201056 has 144 divisors (see below), whose sum is σ = 352392768. Its totient is φ = 33580800.

The previous prime is 112201049. The next prime is 112201123. The reversal of 112201056 is 650102211.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338811 + ... + 339141.

It is an arithmetic number, because the mean of its divisors is an integer number (2447172).

Almost surely, 2^112201056 is an apocalyptic number.

112201056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 10592×10593.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176196384).

112201056 is an abundant number, since it is smaller than the sum of its proper divisors (240191712).

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

112201056 is a wasteful number, since it uses less digits than its factorization.

112201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112201056 is about 10592.4999881992. The cubic root of 112201056 is about 482.3167170567.

Adding to 112201056 its reverse (650102211), we get a palindrome (762303267).

The spelling of 112201056 in words is "one hundred twelve million, two hundred one thousand, fifty-six".