112112910000 has 1400 divisors, whose sum is σ = 503848341920. Its totient is φ = 23654592000.

The previous prime is 112112909989. The next prime is 112112910079. The reversal of 112112910000 is 19211211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 8624069994 + ... + 8624070006.

Almost surely, 2^112112910000 is an apocalyptic number.

112112910000 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 112112910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251924170960).

112112910000 is an abundant number, since it is smaller than the sum of its proper divisors (391735431920).

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

112112910000 is an frugal number, since it uses more digits than its factorization.

112112910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 112112910000 in words is "one hundred twelve billion, one hundred twelve million, nine hundred ten thousand".