112920400 has 60 divisors (see below), whose sum is σ = 272858652. Its totient is φ = 44907520.

The previous prime is 112920391. The next prime is 112920427. The reversal of 112920400 is 4029211.

It can be written as a sum of positive squares in 6 ways, for example, as 13957696 + 98962704 = 3736^2 + 9948^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78084 + ... + 79516.

Almost surely, 2^112920400 is an apocalyptic number.

112920400 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 112920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136429326).

112920400 is an abundant number, since it is smaller than the sum of its proper divisors (159938252).

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

112920400 is a wasteful number, since it uses less digits than its factorization.

112920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 112920400 is about 10626.4010840924. The cubic root of 112920400 is about 483.3452659229.

Adding to 112920400 its reverse (4029211), we get a palindrome (116949611).

The spelling of 112920400 in words is "one hundred twelve million, nine hundred twenty thousand, four hundred".