112320133400 has 96 divisors (see below), whose sum is σ = 266262020640. Its totient is φ = 44048808960.

The previous prime is 112320133381. The next prime is 112320133417. The reversal of 112320133400 is 4331023211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19575332 + ... + 19581068.

It is an arithmetic number, because the mean of its divisors is an integer number (2773562715).

Almost surely, 2^112320133400 is an apocalyptic number.

112320133400 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 112320133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133131010320).

112320133400 is an abundant number, since it is smaller than the sum of its proper divisors (153941887240).

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

112320133400 is a wasteful number, since it uses less digits than its factorization.

112320133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112320133400 its reverse (4331023211), we get a palindrome (116651156611).

The spelling of 112320133400 in words is "one hundred twelve billion, three hundred twenty million, one hundred thirty-three thousand, four hundred".