112312022400 has 576 divisors, whose sum is σ = 411117548400. Its totient is φ = 29185228800.

The previous prime is 112312022327. The next prime is 112312022413. The reversal of 112312022400 is 4220213211.

It is a happy number.

112312022400 is a `hidden beast` number, since 1 + 123 + 120 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×112312022400² (a number of 23 digits) contains 22 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 71 ways as a sum of consecutive naturals, for example, 266774190 + ... + 266774610.

Almost surely, 2^112312022400 is an apocalyptic number.

112312022400 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 112312022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205558774200).

112312022400 is an abundant number, since it is smaller than the sum of its proper divisors (298805526000).

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

112312022400 is a wasteful number, since it uses less digits than its factorization.

112312022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

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

Adding to 112312022400 its reverse (4220213211), we get a palindrome (116532235611).

The spelling of 112312022400 in words is "one hundred twelve billion, three hundred twelve million, twenty-two thousand, four hundred".