22002200010120 has 256 divisors, whose sum is σ = 73089643680000. Its totient is φ = 5298063175680.

The previous prime is 22002200010071. The next prime is 22002200010127. The reversal of 22002200010120 is 2101000220022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22002200010096 and 22002200010105.

It is not an unprimeable number, because it can be changed into a prime (22002200010127) by changing a digit.

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, 23336016 + ... + 24260544.

It is an arithmetic number, because the mean of its divisors is an integer number (285506420625).

Almost surely, 2^{22002200010120} is an apocalyptic number.

22002200010120 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 22002200010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36544821840000).

22002200010120 is an abundant number, since it is smaller than the sum of its proper divisors (51087443669880).

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

22002200010120 is a wasteful number, since it uses less digits than its factorization.

22002200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924725 (or 924699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22002200010120 its reverse (2101000220022), we get a palindrome (24103200230142).

The spelling of 22002200010120 in words is "twenty-two trillion, two billion, two hundred million, ten thousand, one hundred twenty".