222121202112120 has 192 divisors, whose sum is σ = 691260802807680. Its totient is φ = 57092830861824.

The previous prime is 222121202112119. The next prime is 222121202112133. The reversal of 222121202112120 is 21211202121222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11259787 + ... + 23896133.

It is an arithmetic number, because the mean of its divisors is an integer number (3600316681290).

Almost surely, 2^{222121202112120} is an apocalyptic number.

222121202112120 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 222121202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345630401403840).

222121202112120 is an abundant number, since it is smaller than the sum of its proper divisors (469139600695560).

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

222121202112120 is a wasteful number, since it uses less digits than its factorization.

222121202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636542 (or 12636501 counting only the distinct ones).

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

Adding to 222121202112120 its reverse (21211202121222), we get a palindrome (243332404233342).

The spelling of 222121202112120 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred two million, one hundred twelve thousand, one hundred twenty".