112961150112 has 192 divisors, whose sum is σ = 316846857600. Its totient is φ = 35115171840.

The previous prime is 112961150101. The next prime is 112961150209. The reversal of 112961150112 is 211051169211.

112961150112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112961150112² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112961150112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111953064 + ... + 111954072.

It is an arithmetic number, because the mean of its divisors is an integer number (1650244050).

Almost surely, 2^112961150112 is an apocalyptic number.

112961150112 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 112961150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158423428800).

112961150112 is an abundant number, since it is smaller than the sum of its proper divisors (203885707488).

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

112961150112 is a wasteful number, since it uses less digits than its factorization.

112961150112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 30.

The spelling of 112961150112 in words is "one hundred twelve billion, nine hundred sixty-one million, one hundred fifty thousand, one hundred twelve".