22002020200000 has 84 divisors (see below), whose sum is σ = 54571831218324. Its totient is φ = 8800808000000.

The previous prime is 22002020199997. The next prime is 22002020200003. The reversal of 22002020200000 is 202020022.

It is an interprime number because it is at equal distance from previous prime (22002020199997) and next prime (22002020200003).

It can be written as a sum of positive squares in 6 ways, for example, as 21814205442624 + 187814757376 = 4670568^2 + 433376^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 22002020200000.

It is not an unprimeable number, because it can be changed into a prime (22002020200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54805051 + ... + 55205050.

It is an arithmetic number, because the mean of its divisors is an integer number (649664657361).

Almost surely, 2^{22002020200000} is an apocalyptic number.

22002020200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002020200000 is an abundant number, since it is smaller than the sum of its proper divisors (32569811018324).

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

22002020200000 is an frugal number, since it uses more digits than its factorization.

22002020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110010138 (or 110010108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22002020200000 its reverse (202020022), we get a palindrome (22002222220022).

The spelling of 22002020200000 in words is "twenty-two trillion, two billion, twenty million, two hundred thousand".