112214522880000 has 3360 divisors, whose sum is σ = 456055033674240. Its totient is φ = 27471052800000.

The previous prime is 112214522879971. The next prime is 112214522880001. The reversal of 112214522880000 is 88225412211.

It is a happy number.

112214522880000 is a `hidden beast` number, since 1 + 122 + 1 + 4 + 522 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112214522880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1111034879950 + ... + 1111034880050.

It is an arithmetic number, because the mean of its divisors is an integer number (135730664784).

Almost surely, 2^{112214522880000} is an apocalyptic number.

112214522880000 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 112214522880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228027516837120).

112214522880000 is an abundant number, since it is smaller than the sum of its proper divisors (343840510794240).

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

112214522880000 is an frugal number, since it uses more digits than its factorization.

112214522880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 112214522880000 in words is "one hundred twelve trillion, two hundred fourteen billion, five hundred twenty-two million, eight hundred eighty thousand".