22226217120 has 216 divisors, whose sum is σ = 78556845276. Its totient is φ = 5722300416.

The previous prime is 22226217107. The next prime is 22226217121. The reversal of 22226217120 is 2171262222.

22226217120 is a `hidden beast` number, since 2 + 2 + 22 + 621 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3770451216 + 18455765904 = 61404^2 + 135852^2 .

It is not an unprimeable number, because it can be changed into a prime (22226217121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1201864 + ... + 1220216.

Almost surely, 2^22226217120 is an apocalyptic number.

22226217120 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 22226217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39278422638).

22226217120 is an abundant number, since it is smaller than the sum of its proper divisors (56330628156).

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

22226217120 is a wasteful number, since it uses less digits than its factorization.

22226217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18432 (or 18392 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 22226217120 its reverse (2171262222), we get a palindrome (24397479342).

The spelling of 22226217120 in words is "twenty-two billion, two hundred twenty-six million, two hundred seventeen thousand, one hundred twenty".