202212122202200 has 384 divisors, whose sum is σ = 545286638707200. Its totient is φ = 68964037632000.

The previous prime is 202212122202179. The next prime is 202212122202281. The reversal of 202212122202200 is 2202221212202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 21238533440 + ... + 21238542960.

It is an arithmetic number, because the mean of its divisors is an integer number (1420017288300).

Almost surely, 2^{202212122202200} is an apocalyptic number.

202212122202200 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 202212122202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272643319353600).

202212122202200 is an abundant number, since it is smaller than the sum of its proper divisors (343074516505000).

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

202212122202200 is a wasteful number, since it uses less digits than its factorization.

202212122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603 (or 14594 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202212122202200 its reverse (2202221212202), we get a palindrome (204414343414402).

The spelling of 202212122202200 in words is "two hundred two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred two thousand, two hundred".