112300811682900 has 144 divisors (see below), whose sum is σ = 331589167560000. Its totient is φ = 29334378378240.

The previous prime is 112300811682893. The next prime is 112300811682931. The reversal of 112300811682900 is 9286118003211.

It is a super-2 number, since 2×112300811682900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4136976 + ... + 15547224.

It is an arithmetic number, because the mean of its divisors is an integer number (2302702552500).

Almost surely, 2^{112300811682900} is an apocalyptic number.

112300811682900 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 112300811682900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165794583780000).

112300811682900 is an abundant number, since it is smaller than the sum of its proper divisors (219288355877100).

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

112300811682900 is a wasteful number, since it uses less digits than its factorization.

112300811682900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11410938 (or 11410931 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 112300811682900 in words is "one hundred twelve trillion, three hundred billion, eight hundred eleven million, six hundred eighty-two thousand, nine hundred".