112582950912 has 192 divisors, whose sum is σ = 333203008320. Its totient is φ = 36608409600.

The previous prime is 112582950869. The next prime is 112582950929. The reversal of 112582950912 is 219059285211.

It is a happy number.

112582950912 is a `hidden beast` number, since 1 + 1 + 2 + 582 + 9 + 50 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12086737 + ... + 12096047.

It is an arithmetic number, because the mean of its divisors is an integer number (1735432335).

Almost surely, 2^112582950912 is an apocalyptic number.

112582950912 is a gapful number since it is divisible by the number (12) 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 112582950912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166601504160).

112582950912 is an abundant number, since it is smaller than the sum of its proper divisors (220620057408).

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

112582950912 is an frugal number, since it uses more digits than its factorization.

112582950912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 112582950912 in words is "one hundred twelve billion, five hundred eighty-two million, nine hundred fifty thousand, nine hundred twelve".