222202222012120 has 512 divisors, whose sum is σ = 611504709672960. Its totient is φ = 71034163200000.

The previous prime is 222202222012103. The next prime is 222202222012123. The reversal of 222202222012120 is 21210222202222.

222202222012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222202222012120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222202222012091 and 222202222012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202222012123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11098447710 + ... + 11098467730.

It is an arithmetic number, because the mean of its divisors is an integer number (1194345136080).

Almost surely, 2^{222202222012120} is an apocalyptic number.

222202222012120 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 222202222012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305752354836480).

222202222012120 is an abundant number, since it is smaller than the sum of its proper divisors (389302487660840).

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

222202222012120 is a wasteful number, since it uses less digits than its factorization.

222202222012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20427 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 222202222012120 its reverse (21210222202222), we get a palindrome (243412444214342).

The spelling of 222202222012120 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred twenty-two million, twelve thousand, one hundred twenty".