22011300000 has 432 divisors, whose sum is σ = 80474396184. Its totient is φ = 5702400000.

The previous prime is 22011299993. The next prime is 22011300007. The reversal of 22011300000 is 311022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22011299993) and next prime (22011300007).

It can be written as a sum of positive squares in 12 ways, for example, as 2771390736 + 19239909264 = 52644^2 + 138708^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22011300007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33299670 + ... + 33300330.

Almost surely, 2^22011300000 is an apocalyptic number.

22011300000 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 22011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40237198092).

22011300000 is an abundant number, since it is smaller than the sum of its proper divisors (58463096184).

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

22011300000 is an equidigital number, since it uses as much as digits as its factorization.

22011300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 22011300000 its reverse (311022), we get a palindrome (22011611022).

The spelling of 22011300000 in words is "twenty-two billion, eleven million, three hundred thousand".