221223202322122 has 192 divisors, whose sum is σ = 450940887936000. Its totient is φ = 79202098483200.

The previous prime is 221223202322021. The next prime is 221223202322131.

221223202322122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×221223202322122³ (a number of 44 digits) contains 333 as substring.

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, 24468881922 + ... + 24468890962.

It is an arithmetic number, because the mean of its divisors is an integer number (2348650458000).

Almost surely, 2^{221223202322122} is an apocalyptic number.

221223202322122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221223202322122 is an abundant number, since it is smaller than the sum of its proper divisors (229717685613878).

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

221223202322122 is a wasteful number, since it uses less digits than its factorization.

221223202322122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13962 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 22122320 and 2322122, that added together give a palindrome (24444442).

The spelling of 221223202322122 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, two hundred two million, three hundred twenty-two thousand, one hundred twenty-two".