112400352 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 34421760.

The previous prime is 112400341. The next prime is 112400381. The reversal of 112400352 is 253004211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672973 + ... + 673139.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^112400352 is an apocalyptic number.

112400352 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 112400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

112400352 is an abundant number, since it is smaller than the sum of its proper divisors (243222048).

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

112400352 is a wasteful number, since it uses less digits than its factorization.

112400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112400352 is about 10601.9032253648. The cubic root of 112400352 is about 482.6021182195.

Adding to 112400352 its reverse (253004211), we get a palindrome (365404563).

The spelling of 112400352 in words is "one hundred twelve million, four hundred thousand, three hundred fifty-two".