112299117840 has 960 divisors, whose sum is σ = 480488246784. Its totient is φ = 22876618752.

The previous prime is 112299117823. The next prime is 112299117857. The reversal of 112299117840 is 48711992211.

112299117840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112299117823) and next prime (112299117857).

It is a super-2 number, since 2×112299117840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 253496659 + ... + 253497101.

Almost surely, 2^112299117840 is an apocalyptic number.

112299117840 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 112299117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240244123392).

112299117840 is an abundant number, since it is smaller than the sum of its proper divisors (368189128944).

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

112299117840 is a wasteful number, since it uses less digits than its factorization.

112299117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 112299117840 in words is "one hundred twelve billion, two hundred ninety-nine million, one hundred seventeen thousand, eight hundred forty".