112838400 has 216 divisors, whose sum is σ = 414400560. Its totient is φ = 30044160.

The previous prime is 112838389. The next prime is 112838413. The reversal of 112838400 is 4838211.

112838400 = T₂₉₉₂ + T₂₉₉₃ + ... + T₃₀₁₆.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 172474 + ... + 173126.

Almost surely, 2^112838400 is an apocalyptic number.

112838400 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 112838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207200280).

112838400 is an abundant number, since it is smaller than the sum of its proper divisors (301562160).

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

112838400 is an equidigital number, since it uses as much as digits as its factorization.

112838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112838400 is about 10622.5420686387. The cubic root of 112838400 is about 483.2282398009.

It can be divided in two parts, 11283 and 8400, that added together give a 9-th power (19683 = 3⁹).

The spelling of 112838400 in words is "one hundred twelve million, eight hundred thirty-eight thousand, four hundred".