220222021020000 has 240 divisors, whose sum is σ = 722626921114560. Its totient is φ = 58705170496000.

The previous prime is 220222021019999. The next prime is 220222021020007. The reversal of 220222021020000 is 20120222022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220222021020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169934491 + ... + 171225509.

It is an arithmetic number, because the mean of its divisors is an integer number (3010945504644).

Almost surely, 2^{220222021020000} is an apocalyptic number.

220222021020000 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 220222021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361313460557280).

220222021020000 is an abundant number, since it is smaller than the sum of its proper divisors (502404900094560).

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

220222021020000 is a wasteful number, since it uses less digits than its factorization.

220222021020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293895 (or 1293872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220222021020000 its reverse (20120222022), we get a palindrome (220242141242022).

The spelling of 220222021020000 in words is "two hundred twenty trillion, two hundred twenty-two billion, twenty-one million, twenty thousand".