222221210210120 has 256 divisors, whose sum is σ = 561134375746560. Its totient is φ = 78501519360000.

The previous prime is 222221210210063. The next prime is 222221210210123. The reversal of 222221210210120 is 21012012122222.

222221210210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222221210210092 and 222221210210101.

It is not an unprimeable number, because it can be changed into a prime (222221210210123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9352339040 + ... + 9352362800.

It is an arithmetic number, because the mean of its divisors is an integer number (2191931155260).

Almost surely, 2^{222221210210120} is an apocalyptic number.

222221210210120 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 222221210210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280567187873280).

222221210210120 is an abundant number, since it is smaller than the sum of its proper divisors (338913165536440).

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

222221210210120 is a wasteful number, since it uses less digits than its factorization.

222221210210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26008 (or 26004 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222221210210120 its reverse (21012012122222), we get a palindrome (243233222332342).

It can be divided in two parts, 2222212102 and 10120, that added together give a palindrome (2222222222).

The spelling of 222221210210120 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two hundred ten million, two hundred ten thousand, one hundred twenty".