22011011200 has 96 divisors (see below), whose sum is σ = 54532642500. Its totient is φ = 8778731520.

The previous prime is 22011011179. The next prime is 22011011221. The reversal of 22011011200 is 211011022.

It is an interprime number because it is at equal distance from previous prime (22011011179) and next prime (22011011221).

It can be written as a sum of positive squares in 6 ways, for example, as 10684943424 + 11326067776 = 103368^2 + 106424^2 .

It is a super-2 number, since 2×22011011200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1106946 + ... + 1126654.

Almost surely, 2^22011011200 is an apocalyptic number.

22011011200 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 22011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266321250).

22011011200 is an abundant number, since it is smaller than the sum of its proper divisors (32521631300).

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

22011011200 is a wasteful number, since it uses less digits than its factorization.

22011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20082 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22011011200 its reverse (211011022), we get a palindrome (22222022222).

The spelling of 22011011200 in words is "twenty-two billion, eleven million, eleven thousand, two hundred".