202212212100000 has 288 divisors, whose sum is σ = 686344536138240. Its totient is φ = 52063831680000.

The previous prime is 202212212099969. The next prime is 202212212100013. The reversal of 202212212100000 is 1212212202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921392 + ... + 20321391.

It is an arithmetic number, because the mean of its divisors is an integer number (2383140750480).

Almost surely, 2^{202212212100000} is an apocalyptic number.

202212212100000 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 202212212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343172268069120).

202212212100000 is an abundant number, since it is smaller than the sum of its proper divisors (484132324038240).

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

202212212100000 is an equidigital number, since it uses as much as digits as its factorization.

202212212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23242850 (or 23242822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202212212100000 its reverse (1212212202), we get a palindrome (202213424312202).

It can be divided in two parts, 20221221 and 2100000, that added together give a triangular number (22321221 = T₆₆₈₁).

The spelling of 202212212100000 in words is "two hundred two trillion, two hundred twelve billion, two hundred twelve million, one hundred thousand".