21122220221120 has 112 divisors (see below), whose sum is σ = 50636399616000. Its totient is φ = 8391937612800.

The previous prime is 21122220221117. The next prime is 21122220221153. The reversal of 21122220221120 is 2112202222112.

It is a super-2 number, since 2×21122220221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21122220221092 and 21122220221101.

It is an unprimeable number.

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, 510190181 + ... + 510231579.

Almost surely, 2^{21122220221120} is an apocalyptic number.

21122220221120 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 21122220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318199808000).

21122220221120 is an abundant number, since it is smaller than the sum of its proper divisors (29514179394880).

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

21122220221120 is a wasteful number, since it uses less digits than its factorization.

21122220221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52126 (or 52116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21122220221120 its reverse (2112202222112), we get a palindrome (23234422443232).

The spelling of 21122220221120 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".