202112020222000 has 320 divisors, whose sum is σ = 591571703773440. Its totient is φ = 65197799424000.

The previous prime is 202112020221973. The next prime is 202112020222031. The reversal of 202112020222000 is 222020211202.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 728379286 + ... + 728656714.

It is an arithmetic number, because the mean of its divisors is an integer number (1848661574292).

Almost surely, 2^{202112020222000} is an apocalyptic number.

202112020222000 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 202112020222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295785851886720).

202112020222000 is an abundant number, since it is smaller than the sum of its proper divisors (389459683551440).

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

202112020222000 is a wasteful number, since it uses less digits than its factorization.

202112020222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280537 (or 280521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202112020222000 its reverse (222020211202), we get a palindrome (202334040433202).

The spelling of 202112020222000 in words is "two hundred two trillion, one hundred twelve billion, twenty million, two hundred twenty-two thousand".