112112352 has 144 divisors (see below), whose sum is σ = 356323968. Its totient is φ = 33143040.

The previous prime is 112112339. The next prime is 112112359. The reversal of 112112352 is 253211211.

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 not an unprimeable number, because it can be changed into a prime (112112359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135813 + ... + 136635.

It is an arithmetic number, because the mean of its divisors is an integer number (2474472).

Almost surely, 2^112112352 is an apocalyptic number.

112112352 is a gapful number since it is divisible by the number (12) 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 112112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178161984).

112112352 is an abundant number, since it is smaller than the sum of its proper divisors (244211616).

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

112112352 is a wasteful number, since it uses less digits than its factorization.

112112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

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

The square root of 112112352 is about 10588.3120467806. The cubic root of 112112352 is about 482.1895801023.

Adding to 112112352 its reverse (253211211), we get a palindrome (365323563).

The spelling of 112112352 in words is "one hundred twelve million, one hundred twelve thousand, three hundred fifty-two".