112240279800 has 768 divisors, whose sum is σ = 457620710400. Its totient is φ = 24975360000.

The previous prime is 112240279727. The next prime is 112240279813. The reversal of 112240279800 is 8972042211.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41400445 + ... + 41403155.

It is an arithmetic number, because the mean of its divisors is an integer number (595860300).

Almost surely, 2^112240279800 is an apocalyptic number.

112240279800 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 112240279800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228810355200).

112240279800 is an abundant number, since it is smaller than the sum of its proper divisors (345380430600).

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

112240279800 is a wasteful number, since it uses less digits than its factorization.

112240279800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112240279800 in words is "one hundred twelve billion, two hundred forty million, two hundred seventy-nine thousand, eight hundred".