202201221212000 has 384 divisors, whose sum is σ = 519609199269888. Its totient is φ = 77185075968000.

The previous prime is 202201221211919. The next prime is 202201221212051. The reversal of 202201221212000 is 212122102202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202201221212000.

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, 147269643314 + ... + 147269644686.

It is an arithmetic number, because the mean of its divisors is an integer number (1353148956432).

Almost surely, 2^{202201221212000} is an apocalyptic number.

202201221212000 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 202201221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259804599634944).

202201221212000 is an abundant number, since it is smaller than the sum of its proper divisors (317407978057888).

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

202201221212000 is a wasteful number, since it uses less digits than its factorization.

202201221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202201221212000 its reverse (212122102202), we get a palindrome (202413343314202).

The spelling of 202201221212000 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, two hundred twelve thousand".