120100122122022 has 160 divisors (see below), whose sum is σ = 308625039360000. Its totient is φ = 34195413978432.

The previous prime is 120100122122003. The next prime is 120100122122089. The reversal of 120100122122022 is 220221221001021.

It is a happy number.

120100122122022 is a `hidden beast` number, since 1 + 201 + 0 + 0 + 1 + 221 + 220 + 22 = 666.

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 = 120100122121986 and 120100122122004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 540882979 + ... + 541104977.

It is an arithmetic number, because the mean of its divisors is an integer number (1928906496000).

Almost surely, 2^{120100122122022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100122122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154312519680000).

120100122122022 is an abundant number, since it is smaller than the sum of its proper divisors (188524917237978).

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

120100122122022 is a wasteful number, since it uses less digits than its factorization.

120100122122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223672 (or 223663 counting only the distinct ones).

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

Adding to 120100122122022 its reverse (220221221001021), we get a palindrome (340321343123043).

The spelling of 120100122122022 in words is "one hundred twenty trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty-two".