202220222022000 has 1920 divisors, whose sum is σ = 895510919966208. Its totient is φ = 41385738240000.

The previous prime is 202220222021953. The next prime is 202220222022017. The reversal of 202220222022000 is 220222022202.

202220222022000 is a `hidden beast` number, since 2 + 0 + 2 + 220 + 2 + 220 + 220 + 0 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 20424217050 + ... + 20424226950.

Almost surely, 2^{202220222022000} is an apocalyptic number.

202220222022000 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 202220222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447755459983104).

202220222022000 is an abundant number, since it is smaller than the sum of its proper divisors (693290697944208).

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

202220222022000 is a wasteful number, since it uses less digits than its factorization.

202220222022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324 (or 10305 counting only the distinct ones).

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

Adding to 202220222022000 its reverse (220222022202), we get a palindrome (202440444044202).

The spelling of 202220222022000 in words is "two hundred two trillion, two hundred twenty billion, two hundred twenty-two million, twenty-two thousand".