112052054041200 has 960 divisors, whose sum is σ = 497582632673280. Its totient is φ = 23317877514240.

The previous prime is 112052054041183. The next prime is 112052054041241. The reversal of 112052054041200 is 2140450250211.

It is a happy number.

112052054041200 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 205 + 40 + 412 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70963489 + ... + 72525311.

It is an arithmetic number, because the mean of its divisors is an integer number (518315242368).

Almost surely, 2^{112052054041200} is an apocalyptic number.

112052054041200 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 112052054041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248791316336640).

112052054041200 is an abundant number, since it is smaller than the sum of its proper divisors (385530578632080).

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

112052054041200 is a wasteful number, since it uses less digits than its factorization.

112052054041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561943 (or 1561926 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 112052054041200 in words is "one hundred twelve trillion, fifty-two billion, fifty-four million, forty-one thousand, two hundred".