112345778000 has 40 divisors (see below), whose sum is σ = 271652096040. Its totient is φ = 44938310400.

The previous prime is 112345777981. The next prime is 112345778071. The reversal of 112345778000 is 877543211.

It can be written as a sum of positive squares in 4 ways, for example, as 14886928144 + 97458849856 = 122012^2 + 312184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28084445 + ... + 28088444.

It is an arithmetic number, because the mean of its divisors is an integer number (6791302401).

Almost surely, 2^112345778000 is an apocalyptic number.

112345778000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112345778000 is an abundant number, since it is smaller than the sum of its proper divisors (159306318040).

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

112345778000 is an equidigital number, since it uses as much as digits as its factorization.

112345778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56172912 (or 56172896 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 112345778000 in words is "one hundred twelve billion, three hundred forty-five million, seven hundred seventy-eight thousand".