112639730112 has 1344 divisors, whose sum is σ = 447339110400. Its totient is φ = 27276963840.

The previous prime is 112639730083. The next prime is 112639730117. The reversal of 112639730112 is 211037936211.

112639730112 is a `hidden beast` number, since 1 + 1 + 2 + 639 + 7 + 3 + 0 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112639730117) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1586475037 + ... + 1586475107.

It is an arithmetic number, because the mean of its divisors is an integer number (332841600).

Almost surely, 2^112639730112 is an apocalyptic number.

112639730112 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 112639730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223669555200).

112639730112 is an abundant number, since it is smaller than the sum of its proper divisors (334699380288).

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

112639730112 is a wasteful number, since it uses less digits than its factorization.

112639730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 112639730112 in words is "one hundred twelve billion, six hundred thirty-nine million, seven hundred thirty thousand, one hundred twelve".