220020112221984 has 144 divisors (see below), whose sum is σ = 627538281552000. Its totient is φ = 73122547857408.

The previous prime is 220020112221983. The next prime is 220020112222003. The reversal of 220020112221984 is 489122211020022.

It is a happy number.

220020112221984 is a `hidden beast` number, since 220 + 0 + 20 + 1 + 1 + 222 + 198 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (220020112221983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581183992 + ... + 581562440.

It is an arithmetic number, because the mean of its divisors is an integer number (4357904733000).

Almost surely, 2^{220020112221984} is an apocalyptic number.

220020112221984 is a gapful number since it is divisible by the number (24) 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 220020112221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313769140776000).

220020112221984 is an abundant number, since it is smaller than the sum of its proper divisors (407518169330016).

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

220020112221984 is a wasteful number, since it uses less digits than its factorization.

220020112221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384447 (or 384436 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 220020112221984 in words is "two hundred twenty trillion, twenty billion, one hundred twelve million, two hundred twenty-one thousand, nine hundred eighty-four".