112019713200 has 180 divisors, whose sum is σ = 389205922560. Its totient is φ = 29836085760.

The previous prime is 112019713177. The next prime is 112019713297. The reversal of 112019713200 is 2317910211.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112019713200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3052561 + ... + 3089039.

Almost surely, 2^112019713200 is an apocalyptic number.

112019713200 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 112019713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194602961280).

112019713200 is an abundant number, since it is smaller than the sum of its proper divisors (277186209360).

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

112019713200 is a wasteful number, since it uses less digits than its factorization.

112019713200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37356 (or 37342 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 112019713200 in words is "one hundred twelve billion, nineteen million, seven hundred thirteen thousand, two hundred".