112251216 has 160 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 29040000.

The previous prime is 112251211. The next prime is 112251241. The reversal of 112251216 is 612152211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112251192 and 112251201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112251211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447091 + ... + 447341.

Almost surely, 2^112251216 is an apocalyptic number.

112251216 is a gapful number since it is divisible by the number (16) 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 112251216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

112251216 is an abundant number, since it is smaller than the sum of its proper divisors (253725360).

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

112251216 is a wasteful number, since it uses less digits than its factorization.

112251216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 112251216 is about 10594.8674366412. The cubic root of 112251216 is about 482.3885803204.

The spelling of 112251216 in words is "one hundred twelve million, two hundred fifty-one thousand, two hundred sixteen".