112132188000 has 960 divisors, whose sum is σ = 480431952000. Its totient is φ = 25604812800.

The previous prime is 112132187989. The next prime is 112132188001. The reversal of 112132188000 is 881231211.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132188001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111131496 + ... + 111132504.

It is an arithmetic number, because the mean of its divisors is an integer number (500449950).

Almost surely, 2^112132188000 is an apocalyptic number.

112132188000 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 112132188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240215976000).

112132188000 is an abundant number, since it is smaller than the sum of its proper divisors (368299764000).

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

112132188000 is an equidigital number, since it uses as much as digits as its factorization.

112132188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 112132188000 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred eighty-eight thousand".