112507430000 has 200 divisors, whose sum is σ = 317667688800. Its totient is φ = 38572800000.

The previous prime is 112507429981. The next prime is 112507430017. The reversal of 112507430000 is 34705211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×112507430000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3413600 + ... + 3446400.

It is an arithmetic number, because the mean of its divisors is an integer number (1588338444).

Almost surely, 2^112507430000 is an apocalyptic number.

112507430000 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 112507430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158833844400).

112507430000 is an abundant number, since it is smaller than the sum of its proper divisors (205160258800).

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

112507430000 is an frugal number, since it uses more digits than its factorization.

112507430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32850 (or 32815 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 112507430000 in words is "one hundred twelve billion, five hundred seven million, four hundred thirty thousand".