112333120400 has 30 divisors (see below), whose sum is σ = 269880322722. Its totient is φ = 44933248000.

The previous prime is 112333120373. The next prime is 112333120423. The reversal of 112333120400 is 4021333211.

It can be written as a sum of positive squares in 3 ways, for example, as 4927478416 + 107405641984 = 70196^2 + 327728^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 140416001 + ... + 140416800.

Almost surely, 2^112333120400 is an apocalyptic number.

112333120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112333120400 is an abundant number, since it is smaller than the sum of its proper divisors (157547202322).

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

112333120400 is a wasteful number, since it uses less digits than its factorization.

112333120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280832819 (or 280832808 counting only the distinct ones).

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

Adding to 112333120400 its reverse (4021333211), we get a palindrome (116354453611).

The spelling of 112333120400 in words is "one hundred twelve billion, three hundred thirty-three million, one hundred twenty thousand, four hundred".