22202002002000 has 320 divisors, whose sum is σ = 72343539859968. Its totient is φ = 5857408000000.

The previous prime is 22202002001947. The next prime is 22202002002017. The reversal of 22202002002000 is 20020020222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828388600 + ... + 828415400.

Almost surely, 2^{22202002002000} is an apocalyptic number.

22202002002000 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 22202002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36171769929984).

22202002002000 is an abundant number, since it is smaller than the sum of its proper divisors (50141537857968).

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

22202002002000 is a wasteful number, since it uses less digits than its factorization.

22202002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28295 (or 28279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22202002002000 its reverse (20020020222), we get a palindrome (22222022022222).

The spelling of 22202002002000 in words is "twenty-two trillion, two hundred two billion, two million, two thousand".