112261120 has 96 divisors (see below), whose sum is σ = 284029200. Its totient is φ = 42467328.

The previous prime is 112261109. The next prime is 112261141. The reversal of 112261120 is 21162211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112261094 and 112261103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194272 + ... + 194848.

Almost surely, 2^112261120 is an apocalyptic number.

112261120 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 112261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142014600).

112261120 is an abundant number, since it is smaller than the sum of its proper divisors (171768080).

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

112261120 is an equidigital number, since it uses as much as digits as its factorization.

112261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 112261120 is about 10595.3348224584. The cubic root of 112261120 is about 482.4027670590.

The spelling of 112261120 in words is "one hundred twelve million, two hundred sixty-one thousand, one hundred twenty".