202022200012000 has 192 divisors, whose sum is σ = 510271944331968. Its totient is φ = 78559334400000.

The previous prime is 202022200011941. The next prime is 202022200012019. The reversal of 202022200012000 is 210002220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44235600 + ... + 48588400.

It is an arithmetic number, because the mean of its divisors is an integer number (2657666376729).

Almost surely, 2^{202022200012000} is an apocalyptic number.

202022200012000 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 202022200012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255135972165984).

202022200012000 is an abundant number, since it is smaller than the sum of its proper divisors (308249744319968).

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

202022200012000 is a wasteful number, since it uses less digits than its factorization.

202022200012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353150 (or 4353132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202022200012000 its reverse (210002220202), we get a palindrome (202232202232202).

The spelling of 202022200012000 in words is "two hundred two trillion, twenty-two billion, two hundred million, twelve thousand".