202212320100000 has 576 divisors, whose sum is σ = 765204936249600. Its totient is φ = 45795870720000.

The previous prime is 202212320099953. The next prime is 202212320100023. The reversal of 202212320100000 is 1023212202.

It is a happy number.

202212320100000 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228458296 + ... + 229341704.

It is an arithmetic number, because the mean of its divisors is an integer number (1328480792100).

Almost surely, 2^{202212320100000} is an apocalyptic number.

202212320100000 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 202212320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382602468124800).

202212320100000 is an abundant number, since it is smaller than the sum of its proper divisors (562992616149600).

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

202212320100000 is an equidigital number, since it uses as much as digits as its factorization.

202212320100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883563 (or 883535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202212320100000 its reverse (1023212202), we get a palindrome (202213343312202).

The spelling of 202212320100000 in words is "two hundred two trillion, two hundred twelve billion, three hundred twenty million, one hundred thousand".