2022121221120 has 1760 divisors, whose sum is σ = 9731079300096. Its totient is φ = 387779788800.

The previous prime is 2022121221067. The next prime is 2022121221137. The reversal of 2022121221120 is 211221212202.

It is a happy number.

2022121221120 is a `hidden beast` number, since 2 + 0 + 221 + 212 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2022121221093 and 2022121221102.

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 159 ways as a sum of consecutive naturals, for example, 415132285 + ... + 415137155.

Almost surely, 2^{2022121221120} is an apocalyptic number.

2022121221120 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 2022121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865539650048).

2022121221120 is an abundant number, since it is smaller than the sum of its proper divisors (7708958078976).

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

2022121221120 is a wasteful number, since it uses less digits than its factorization.

2022121221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2022121221120 its reverse (211221212202), we get a palindrome (2233342433322).

The spelling of 2022121221120 in words is "two trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".