112263312 has 120 divisors (see below), whose sum is σ = 343504800. Its totient is φ = 31492608.

The previous prime is 112263311. The next prime is 112263367. The reversal of 112263312 is 213362211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112263311) 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, 138364 + ... + 139172.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^112263312 is an apocalyptic number.

112263312 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 112263312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171752400).

112263312 is an abundant number, since it is smaller than the sum of its proper divisors (231241488).

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

112263312 is a wasteful number, since it uses less digits than its factorization.

112263312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 112263312 is about 10595.4382637058. The cubic root of 112263312 is about 482.4059068222.

It can be divided in two parts, 112263 and 312, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 112263312 in words is "one hundred twelve million, two hundred sixty-three thousand, three hundred twelve".