112082770800 has 1440 divisors, whose sum is σ = 550059793920. Its totient is φ = 20354457600.

The previous prime is 112082770783. The next prime is 112082770837. The reversal of 112082770800 is 8077280211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68467582 + ... + 68469218.

It is an arithmetic number, because the mean of its divisors is an integer number (381985968).

Almost surely, 2^112082770800 is an apocalyptic number.

112082770800 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 112082770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275029896960).

112082770800 is an abundant number, since it is smaller than the sum of its proper divisors (437977023120).

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

112082770800 is a wasteful number, since it uses less digits than its factorization.

112082770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 112082770800 in words is "one hundred twelve billion, eighty-two million, seven hundred seventy thousand, eight hundred".