112221020121984 has 160 divisors (see below), whose sum is σ = 334518150542400. Its totient is φ = 37345378572288.

The previous prime is 112221020121943. The next prime is 112221020121997. The reversal of 112221020121984 is 489121020122211.

112221020121984 is a `hidden beast` number, since 1 + 1 + 22 + 210 + 201 + 219 + 8 + 4 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2622429 + ... + 15209180.

It is an arithmetic number, because the mean of its divisors is an integer number (2090738440890).

Almost surely, 2^{112221020121984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221020121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167259075271200).

112221020121984 is an abundant number, since it is smaller than the sum of its proper divisors (222297130420416).

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

112221020121984 is an equidigital number, since it uses as much as digits as its factorization.

112221020121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832242 (or 17832221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 112221020121984 in words is "one hundred twelve trillion, two hundred twenty-one billion, twenty million, one hundred twenty-one thousand, nine hundred eighty-four".