112254267619200 has 1152 divisors, whose sum is σ = 434550691261440. Its totient is φ = 25393471488000.

The previous prime is 112254267619189. The next prime is 112254267619231. The reversal of 112254267619200 is 2916762452211.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 112254267619200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52676802135 + ... + 52676804265.

It is an arithmetic number, because the mean of its divisors is an integer number (377214141720).

Almost surely, 2^{112254267619200} is an apocalyptic number.

112254267619200 is a gapful number since it is divisible by the number (10) 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 112254267619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217275345630720).

112254267619200 is an abundant number, since it is smaller than the sum of its proper divisors (322296423642240).

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

112254267619200 is a wasteful number, since it uses less digits than its factorization.

112254267619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 112254267619200 in words is "one hundred twelve trillion, two hundred fifty-four billion, two hundred sixty-seven million, six hundred nineteen thousand, two hundred".