222000102120 has 256 divisors, whose sum is σ = 695875334400. Its totient is φ = 56604303360.

The previous prime is 222000102089. The next prime is 222000102161. The reversal of 222000102120 is 21201000222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222000102096 and 222000102105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196633716 + ... + 196634844.

It is an arithmetic number, because the mean of its divisors is an integer number (2718263025).

Almost surely, 2^222000102120 is an apocalyptic number.

222000102120 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 222000102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347937667200).

222000102120 is an abundant number, since it is smaller than the sum of its proper divisors (473875232280).

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

222000102120 is a wasteful number, since it uses less digits than its factorization.

222000102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222000102120 its reverse (21201000222), we get a palindrome (243201102342).

It can be divided in two parts, 222000102 and 120, that added together give a palindrome (222000222).

The spelling of 222000102120 in words is "two hundred twenty-two billion, one hundred two thousand, one hundred twenty".