202212221221120 has 144 divisors (see below), whose sum is σ = 540682562895552. Its totient is φ = 71821676666880.

The previous prime is 202212221221037. The next prime is 202212221221243. The reversal of 202212221221120 is 21122122212202.

It is a super-2 number, since 2×202212221221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 202212221221091 and 202212221221100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166390647 + ... + 167601526.

It is an arithmetic number, because the mean of its divisors is an integer number (3754740020108).

Almost surely, 2^{202212221221120} is an apocalyptic number.

202212221221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212221221120 is an abundant number, since it is smaller than the sum of its proper divisors (338470341674432).

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

202212221221120 is a wasteful number, since it uses less digits than its factorization.

202212221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333992248 (or 333992234 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202212221221120 its reverse (21122122212202), we get a palindrome (223334343433322).

The spelling of 202212221221120 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".