112783104000 has 1728 divisors, whose sum is σ = 503661019680. Its totient is φ = 25082265600.

The previous prime is 112783103989. The next prime is 112783104019. The reversal of 112783104000 is 401387211.

It is a tau number, because it is divible by the number of its divisors (1728).

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3048191982 + ... + 3048192018.

Almost surely, 2^112783104000 is an apocalyptic number.

112783104000 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 112783104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251830509840).

112783104000 is an abundant number, since it is smaller than the sum of its proper divisors (390877915680).

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

112783104000 is an frugal number, since it uses more digits than its factorization.

112783104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 112783104000 in words is "one hundred twelve billion, seven hundred eighty-three million, one hundred four thousand".