112622400 has 420 divisors, whose sum is σ = 457321920. Its totient is φ = 26956800.

The previous prime is 112622381. The next prime is 112622417. The reversal of 112622400 is 4226211.

112622400 is a `hidden beast` number, since 1 + 1 + 2 + 622 + 40 + 0 = 666.

It is a super-3 number, since 3×112622400³ (a number of 25 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 1425561 + ... + 1425639.

Almost surely, 2^112622400 is an apocalyptic number.

112622400 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 112622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228660960).

112622400 is an abundant number, since it is smaller than the sum of its proper divisors (344699520).

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

112622400 is a wasteful number, since it uses less digits than its factorization.

112622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112622400 is about 10612.3701405482. The cubic root of 112622400 is about 482.9197042556.

Adding to 112622400 its reverse (4226211), we get a palindrome (116848611).

The spelling of 112622400 in words is "one hundred twelve million, six hundred twenty-two thousand, four hundred".