22255120000 has 160 divisors (see below), whose sum is σ = 55655059680. Its totient is φ = 8861568000.

The previous prime is 22255119979. The next prime is 22255120031. The reversal of 22255120000 is 2155222.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 22255120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22639509 + ... + 22640491.

It is an arithmetic number, because the mean of its divisors is an integer number (347844123).

Almost surely, 2^22255120000 is an apocalyptic number.

22255120000 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 22255120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827529840).

22255120000 is an abundant number, since it is smaller than the sum of its proper divisors (33399939680).

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

22255120000 is an frugal number, since it uses more digits than its factorization.

22255120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 22255120000 its reverse (2155222), we get a palindrome (22257275222).

The spelling of 22255120000 in words is "twenty-two billion, two hundred fifty-five million, one hundred twenty thousand".