21120122000 has 80 divisors (see below), whose sum is σ = 51107292912. Its totient is φ = 8441625600.

The previous prime is 21120121993. The next prime is 21120122021. The reversal of 21120122000 is 22102112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5220929536 + 15899192464 = 72256^2 + 126092^2 .

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

It is an unprimeable number.

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, 3310814 + ... + 3317186.

Almost surely, 2^21120122000 is an apocalyptic number.

21120122000 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 21120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25553646456).

21120122000 is an abundant number, since it is smaller than the sum of its proper divisors (29987170912).

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

21120122000 is a wasteful number, since it uses less digits than its factorization.

21120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21120122000 its reverse (22102112), we get a palindrome (21142224112).

The spelling of 21120122000 in words is "twenty-one billion, one hundred twenty million, one hundred twenty-two thousand".