112345305402400 has 144 divisors (see below), whose sum is σ = 313454859105024. Its totient is φ = 38516982497280.

The previous prime is 112345305402397. The next prime is 112345305402409. The reversal of 112345305402400 is 4204503543211.

It is not an unprimeable number, because it can be changed into a prime (112345305402409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159040384 + ... + 159745216.

It is an arithmetic number, because the mean of its divisors is an integer number (2176769854896).

Almost surely, 2^{112345305402400} is an apocalyptic number.

112345305402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112345305402400 is an abundant number, since it is smaller than the sum of its proper divisors (201109553702624).

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

112345305402400 is a wasteful number, since it uses less digits than its factorization.

112345305402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733323 (or 733310 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 112345305402400 its reverse (4204503543211), we get a palindrome (116549808945611).

The spelling of 112345305402400 in words is "one hundred twelve trillion, three hundred forty-five billion, three hundred five million, four hundred two thousand, four hundred".