22210000120 has 384 divisors, whose sum is σ = 65637734400. Its totient is φ = 6614784000.

The previous prime is 22210000097. The next prime is 22210000187. The reversal of 22210000120 is 2100001222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22210000097 and 22210000106.

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 95 ways as a sum of consecutive naturals, for example, 81955585 + ... + 81955855.

It is an arithmetic number, because the mean of its divisors is an integer number (170931600).

Almost surely, 2^22210000120 is an apocalyptic number.

22210000120 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 22210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

22210000120 is an abundant number, since it is smaller than the sum of its proper divisors (43427734280).

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

22210000120 is a wasteful number, since it uses less digits than its factorization.

22210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22210000120 its reverse (2100001222), we get a palindrome (24310001342).

It can be divided in two parts, 2 and 2210000120, that added together give a palindrome (2210000122).

The spelling of 22210000120 in words is "twenty-two billion, two hundred ten million, one hundred twenty", and thus it is an aban number.