20001122122200 has 96 divisors (see below), whose sum is σ = 62004162908160. Its totient is φ = 5333573699200.

The previous prime is 20001122122181. The next prime is 20001122122237. The reversal of 20001122122200 is 222122110002.

It is a super-2 number, since 2×20001122122200² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20001122122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96779377 + ... + 96985823.

It is an arithmetic number, because the mean of its divisors is an integer number (645876696960).

Almost surely, 2^{20001122122200} is an apocalyptic number.

20001122122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001122122200 is an abundant number, since it is smaller than the sum of its proper divisors (42003040785960).

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

20001122122200 is a wasteful number, since it uses less digits than its factorization.

20001122122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367937 (or 367928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20001122122200 its reverse (222122110002), we get a palindrome (20223244232202).

The spelling of 20001122122200 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".