202202022000 has 320 divisors, whose sum is σ = 713351628288. Its totient is φ = 48867840000.

The previous prime is 202202021999. The next prime is 202202022041. The reversal of 202202022000 is 220202202.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22237455 + ... + 22246545.

Almost surely, 2^202202022000 is an apocalyptic number.

202202022000 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 202202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356675814144).

202202022000 is an abundant number, since it is smaller than the sum of its proper divisors (511149606288).

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

202202022000 is a wasteful number, since it uses less digits than its factorization.

202202022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9449 counting only the distinct ones).

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

Adding to 202202022000 its reverse (220202202), we get a palindrome (202422224202).

It can be divided in two parts, 20220202 and 2000, that added together give a palindrome (20222202).

The spelling of 202202022000 in words is "two hundred two billion, two hundred two million, twenty-two thousand".