22011002000 has 80 divisors (see below), whose sum is σ = 57316716912. Its totient is φ = 8127129600.

The previous prime is 22011001973. The next prime is 22011002009. The reversal of 22011002000 is 20011022.

It can be written as a sum of positive squares in 8 ways, for example, as 17407108096 + 4603893904 = 131936^2 + 67852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22011002009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 397289 + ... + 449288.

Almost surely, 2^22011002000 is an apocalyptic number.

22011002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011002000 is an abundant number, since it is smaller than the sum of its proper divisors (35305714912).

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

22011002000 is a wasteful number, since it uses less digits than its factorization.

22011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846613 (or 846597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22011002000 its reverse (20011022), we get a palindrome (22031013022).

The spelling of 22011002000 in words is "twenty-two billion, eleven million, two thousand".