22202022022020 has 72 divisors (see below), whose sum is σ = 67347341257560. Its totient is φ = 5920433026560.

The previous prime is 22202022022013. The next prime is 22202022022027. The reversal of 22202022022020 is 2022022020222.

22202022022020 is a `hidden beast` number, since 2 + 2 + 202 + 0 + 220 + 220 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22202022022013) and next prime (22202022022027).

It can be written as a sum of positive squares in 4 ways, for example, as 1429593270336 + 20772428751684 = 1195656^2 + 4557678^2 .

It is a super-2 number, since 2×22202022022020² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22202022021984 and 22202022022002.

It is not an unprimeable number, because it can be changed into a prime (22202022022027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9225966 + ... + 11380794.

Almost surely, 2^{22202022022020} is an apocalyptic number.

22202022022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202022022020 is an abundant number, since it is smaller than the sum of its proper divisors (45145319235540).

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

22202022022020 is a wasteful number, since it uses less digits than its factorization.

22202022022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212085 (or 2212080 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22202022022020 its reverse (2022022020222), we get a palindrome (24224044042242).

The spelling of 22202022022020 in words is "twenty-two trillion, two hundred two billion, twenty-two million, twenty-two thousand, twenty".