112570018272 has 288 divisors, whose sum is σ = 354525050880. Its totient is φ = 35058562560.

The previous prime is 112570018217. The next prime is 112570018291. The reversal of 112570018272 is 272810075211.

112570018272 is a `hidden beast` number, since 1 + 1 + 2 + 570 + 0 + 1 + 82 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6982573 + ... + 6998675.

It is an arithmetic number, because the mean of its divisors is an integer number (1230989760).

Almost surely, 2^112570018272 is an apocalyptic number.

112570018272 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 112570018272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177262525440).

112570018272 is an abundant number, since it is smaller than the sum of its proper divisors (241955032608).

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

112570018272 is a wasteful number, since it uses less digits than its factorization.

112570018272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 112570018272 in words is "one hundred twelve billion, five hundred seventy million, eighteen thousand, two hundred seventy-two".