202212211201000 has 2048 divisors, whose sum is σ = 702944602214400. Its totient is φ = 52332134400000.

The previous prime is 202212211200991. The next prime is 202212211201097. The reversal of 202212211201000 is 102112212202.

It is a happy number.

202212211201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49842790972 + ... + 49842795028.

It is an arithmetic number, because the mean of its divisors is an integer number (343234669050).

Almost surely, 2^{202212211201000} is an apocalyptic number.

202212211201000 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 202212211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351472301107200).

202212211201000 is an abundant number, since it is smaller than the sum of its proper divisors (500732391013400).

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

202212211201000 is a wasteful number, since it uses less digits than its factorization.

202212211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202212211201000 its reverse (102112212202), we get a palindrome (202314323413202).

The spelling of 202212211201000 in words is "two hundred two trillion, two hundred twelve billion, two hundred eleven million, two hundred one thousand".