222201000120 has 512 divisors, whose sum is σ = 779829120000. Its totient is φ = 50084904960.

The previous prime is 222201000083. The next prime is 222201000157. The reversal of 222201000120 is 21000102222.

222201000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222201000083) and next prime (222201000157).

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 = 222201000096 and 222201000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362480934 + ... + 362481546.

It is an arithmetic number, because the mean of its divisors is an integer number (1523103750).

Almost surely, 2^222201000120 is an apocalyptic number.

222201000120 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 222201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389914560000).

222201000120 is an abundant number, since it is smaller than the sum of its proper divisors (557628119880).

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

222201000120 is a wasteful number, since it uses less digits than its factorization.

222201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

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

Adding to 222201000120 its reverse (21000102222), we get a palindrome (243201102342).

The spelling of 222201000120 in words is "two hundred twenty-two billion, two hundred one million, one hundred twenty", and thus it is an aban number.