112251132 has 144 divisors (see below), whose sum is σ = 343429632. Its totient is φ = 30222720.

The previous prime is 112251131. The next prime is 112251133. The reversal of 112251132 is 231152211.

112251132 is a `hidden beast` number, since 1 + 122 + 511 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (112251131) and next prime (112251133).

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 (112251131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620082 + ... + 620262.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 2^112251132 is an apocalyptic number.

112251132 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 112251132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

112251132 is an abundant number, since it is smaller than the sum of its proper divisors (231178500).

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

112251132 is a wasteful number, since it uses less digits than its factorization.

112251132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

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

The square root of 112251132 is about 10594.8634724568. The cubic root of 112251132 is about 482.3884599931.

The spelling of 112251132 in words is "one hundred twelve million, two hundred fifty-one thousand, one hundred thirty-two".