21122001120 has 96 divisors (see below), whose sum is σ = 72582894720. Its totient is φ = 5120483840.

The previous prime is 21122001071. The next prime is 21122001139. The reversal of 21122001120 is 2110022112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21122001120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21122001096 and 21122001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994910 + ... + 2005469.

It is an arithmetic number, because the mean of its divisors is an integer number (756071820).

Almost surely, 2^21122001120 is an apocalyptic number.

21122001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122001120 is an abundant number, since it is smaller than the sum of its proper divisors (51460893600).

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

21122001120 is a wasteful number, since it uses less digits than its factorization.

21122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000408 (or 4000400 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21122001120 its reverse (2110022112), we get a palindrome (23232023232).

The spelling of 21122001120 in words is "twenty-one billion, one hundred twenty-two million, one thousand, one hundred twenty".