21222120311120 has 40 divisors (see below), whose sum is σ = 49668194186880. Its totient is φ = 8432630582400.

The previous prime is 21222120311087. The next prime is 21222120311123. The reversal of 21222120311120 is 2111302122212.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 21222120311092 and 21222120311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222120311123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 878386940 + ... + 878411099.

It is an arithmetic number, because the mean of its divisors is an integer number (1241704854672).

Almost surely, 2^{21222120311120} is an apocalyptic number.

21222120311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222120311120 is an abundant number, since it is smaller than the sum of its proper divisors (28446073875760).

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

21222120311120 is a wasteful number, since it uses less digits than its factorization.

21222120311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756798203 (or 1756798197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21222120311120 its reverse (2111302122212), we get a palindrome (23333422433332).

The spelling of 21222120311120 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, three hundred eleven thousand, one hundred twenty".