22191120000 has 1440 divisors, whose sum is σ = 100940516820. Its totient is φ = 4644864000.

The previous prime is 22191119933. The next prime is 22191120019. The reversal of 22191120000 is 2119122.

It can be written as a sum of positive squares in 10 ways, for example, as 185177664 + 22005942336 = 13608^2 + 148344^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 599759982 + ... + 599760018.

Almost surely, 2^22191120000 is an apocalyptic number.

22191120000 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 22191120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50470258410).

22191120000 is an abundant number, since it is smaller than the sum of its proper divisors (78749396820).

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

22191120000 is a wasteful number, since it uses less digits than its factorization.

22191120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 22191120000 its reverse (2119122), we get a palindrome (22193239122).

The spelling of 22191120000 in words is "twenty-two billion, one hundred ninety-one million, one hundred twenty thousand".