112034606112 has 384 divisors, whose sum is σ = 396292055040. Its totient is φ = 30326400000.

The previous prime is 112034606087. The next prime is 112034606137. The reversal of 112034606112 is 211606430211.

It is a happy number.

112034606112 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 46 + 0 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112034606087) and next prime (112034606137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3815487 + ... + 3844737.

It is an arithmetic number, because the mean of its divisors is an integer number (1032010560).

Almost surely, 2^112034606112 is an apocalyptic number.

112034606112 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 112034606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198146027520).

112034606112 is an abundant number, since it is smaller than the sum of its proper divisors (284257448928).

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

112034606112 is a wasteful number, since it uses less digits than its factorization.

112034606112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29325 (or 29311 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 112034606112 in words is "one hundred twelve billion, thirty-four million, six hundred six thousand, one hundred twelve".