220969980000 has 1440 divisors, whose sum is σ = 994766572800. Its totient is φ = 45181440000.

The previous prime is 220969979957. The next prime is 220969980083. The reversal of 220969980000 is 89969022.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×220969980000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1483019926 + ... + 1483020074.

It is an arithmetic number, because the mean of its divisors is an integer number (690810120).

Almost surely, 2^220969980000 is an apocalyptic number.

220969980000 is a gapful number since it is divisible by the number (20) 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 220969980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497383286400).

220969980000 is an abundant number, since it is smaller than the sum of its proper divisors (773796592800).

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

220969980000 is a wasteful number, since it uses less digits than its factorization.

220969980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 220969980000 in words is "two hundred twenty billion, nine hundred sixty-nine million, nine hundred eighty thousand".