2022022010120 has 256 divisors, whose sum is σ = 5476767436800. Its totient is φ = 656881505280.

The previous prime is 2022022010119. The next prime is 2022022010147. The reversal of 2022022010120 is 210102202202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2022022010095 and 2022022010104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555956942 + ... + 555960578.

It is an arithmetic number, because the mean of its divisors is an integer number (21393622800).

Almost surely, 2^{2022022010120} is an apocalyptic number.

2022022010120 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 2022022010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738383718400).

2022022010120 is an abundant number, since it is smaller than the sum of its proper divisors (3454745426680).

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

2022022010120 is a wasteful number, since it uses less digits than its factorization.

2022022010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022022010120 its reverse (210102202202), we get a palindrome (2232124212322).

The spelling of 2022022010120 in words is "two trillion, twenty-two billion, twenty-two million, ten thousand, one hundred twenty".