220121202022200 has 576 divisors, whose sum is σ = 764959439462400. Its totient is φ = 56666239718400.

The previous prime is 220121202022193. The next prime is 220121202022207. The reversal of 220121202022200 is 2220202121022.

220121202022200 is a `hidden beast` number, since 2 + 201 + 21 + 20 + 202 + 220 + 0 = 666.

220121202022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220121202022193) and next prime (220121202022207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220121202022207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68723445799 + ... + 68723449001.

It is an arithmetic number, because the mean of its divisors is an integer number (1328054582400).

Almost surely, 2^{220121202022200} is an apocalyptic number.

220121202022200 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 220121202022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382479719731200).

220121202022200 is an abundant number, since it is smaller than the sum of its proper divisors (544838237440200).

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

220121202022200 is a wasteful number, since it uses less digits than its factorization.

220121202022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220121202022200 its reverse (2220202121022), we get a palindrome (222341404143222).

The spelling of 220121202022200 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred two million, twenty-two thousand, two hundred".