112203300013200 has 5760 divisors, whose sum is σ = 507333014323200. Its totient is φ = 22621648896000.

The previous prime is 112203300013183. The next prime is 112203300013313. The reversal of 112203300013200 is 2310003302211.

112203300013200 is a `hidden beast` number, since 1 + 12 + 2 + 0 + 330 + 0 + 0 + 1 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1580328169165 + ... + 1580328169235.

It is an arithmetic number, because the mean of its divisors is an integer number (88078648320).

Almost surely, 2^{112203300013200} is an apocalyptic number.

112203300013200 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 112203300013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253666507161600).

112203300013200 is an abundant number, since it is smaller than the sum of its proper divisors (395129714310000).

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

112203300013200 is a wasteful number, since it uses less digits than its factorization.

112203300013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112203300013200 its reverse (2310003302211), we get a palindrome (114513303315411).

The spelling of 112203300013200 in words is "one hundred twelve trillion, two hundred three billion, three hundred million, thirteen thousand, two hundred".