202212221121120 has 288 divisors, whose sum is σ = 742200405408000. Its totient is φ = 46142771211264.

The previous prime is 202212221121073. The next prime is 202212221121139. The reversal of 202212221121120 is 21121122212202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6911971 + ... + 21264989.

It is an arithmetic number, because the mean of its divisors is an integer number (2577084741000).

Almost surely, 2^{202212221121120} is an apocalyptic number.

202212221121120 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 202212221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371100202704000).

202212221121120 is an abundant number, since it is smaller than the sum of its proper divisors (539988184286880).

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

202212221121120 is a wasteful number, since it uses less digits than its factorization.

202212221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353650 (or 14353635 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 202212221121120 its reverse (21121122212202), we get a palindrome (223333343333322).

The spelling of 202212221121120 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".