112402400 has 144 divisors (see below), whose sum is σ = 306261648. Its totient is φ = 39936000.

The previous prime is 112402397. The next prime is 112402429. The reversal of 112402400 is 4204211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466280 + ... + 466520.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2^112402400 is an apocalyptic number.

112402400 is a gapful number since it is divisible by the number (10) 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 112402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153130824).

112402400 is an abundant number, since it is smaller than the sum of its proper divisors (193859248).

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

112402400 is a wasteful number, since it uses less digits than its factorization.

112402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 112402400 is about 10601.9998113563. Note that the first 3 decimals coincide. The cubic root of 112402400 is about 482.6050492991.

Adding to 112402400 its reverse (4204211), we get a palindrome (116606611).

The spelling of 112402400 in words is "one hundred twelve million, four hundred two thousand, four hundred".