112098940800 has 768 divisors, whose sum is σ = 464070297600. Its totient is φ = 23104512000.

The previous prime is 112098940757. The next prime is 112098940861. The reversal of 112098940800 is 8049890211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102748255 + ... + 102749345.

It is an arithmetic number, because the mean of its divisors is an integer number (604258200).

Almost surely, 2^112098940800 is an apocalyptic number.

112098940800 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 112098940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232035148800).

112098940800 is an abundant number, since it is smaller than the sum of its proper divisors (351971356800).

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

112098940800 is a wasteful number, since it uses less digits than its factorization.

112098940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

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

The spelling of 112098940800 in words is "one hundred twelve billion, ninety-eight million, nine hundred forty thousand, eight hundred".