202212222100000 has 288 divisors, whose sum is σ = 568753049475072. Its totient is φ = 69321667200000.

The previous prime is 202212222099973. The next prime is 202212222100003. The reversal of 202212222100000 is 1222212202.

202212222100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (202212222100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10348090230 + ... + 10348109770.

It is an arithmetic number, because the mean of its divisors is an integer number (1974836977344).

Almost surely, 2^{202212222100000} is an apocalyptic number.

202212222100000 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 202212222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284376524737536).

202212222100000 is an abundant number, since it is smaller than the sum of its proper divisors (366540827375072).

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

202212222100000 is an equidigital number, since it uses as much as digits as its factorization.

202212222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34366 (or 34338 counting only the distinct ones).

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

Adding to 202212222100000 its reverse (1222212202), we get a palindrome (202213444312202).

The spelling of 202212222100000 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred thousand".