20220010120 has 256 divisors, whose sum is σ = 51112036800. Its totient is φ = 7166361600.

The previous prime is 20220010087. The next prime is 20220010211. The reversal of 20220010120 is 2101002202.

It can be written as a sum of positive squares in 32 ways, for example, as 9042868836 + 11177141284 = 95094^2 + 105722^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20220010097 and 20220010106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185504626 + ... + 185504734.

Almost surely, 2^20220010120 is an apocalyptic number.

20220010120 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 20220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25556018400).

20220010120 is an abundant number, since it is smaller than the sum of its proper divisors (30892026680).

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

20220010120 is a wasteful number, since it uses less digits than its factorization.

20220010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20220010120 its reverse (2101002202), we get a palindrome (22321012322).

The spelling of 20220010120 in words is "twenty billion, two hundred twenty million, ten thousand, one hundred twenty".