21122201122000 has 80 divisors (see below), whose sum is σ = 55716526217664. Its totient is φ = 7680800400000.

The previous prime is 21122201121781. The next prime is 21122201122007. The reversal of 21122201122000 is 22110222112.

It is a happy number.

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

It is a super-2 number, since 2×21122201122000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122201122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480028026 + ... + 480072025.

Almost surely, 2^{21122201122000} is an apocalyptic number.

21122201122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122201122000 is an abundant number, since it is smaller than the sum of its proper divisors (34594325095664).

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

21122201122000 is a wasteful number, since it uses less digits than its factorization.

21122201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960100085 (or 960100069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122201122000 its reverse (22110222112), we get a palindrome (21144311344112).

It can be divided in two parts, 2112220112 and 2000, that added together give a palindrome (2112222112).

The spelling of 21122201122000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand".