112305154400 has 144 divisors (see below), whose sum is σ = 301143225600. Its totient is φ = 40707279360.

The previous prime is 112305154393. The next prime is 112305154441. The reversal of 112305154400 is 4451503211.

It is a super-2 number, since 2×112305154400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112305154400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188981 + ... + 510219.

It is an arithmetic number, because the mean of its divisors is an integer number (2091272400).

Almost surely, 2^112305154400 is an apocalyptic number.

112305154400 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 112305154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150571612800).

112305154400 is an abundant number, since it is smaller than the sum of its proper divisors (188838071200).

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

112305154400 is a wasteful number, since it uses less digits than its factorization.

112305154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321301 (or 321288 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 112305154400 its reverse (4451503211), we get a palindrome (116756657611).

The spelling of 112305154400 in words is "one hundred twelve billion, three hundred five million, one hundred fifty-four thousand, four hundred".