120122221221120 has 288 divisors, whose sum is σ = 389106418305024. Its totient is φ = 31576340275200.

The previous prime is 120122221221113. The next prime is 120122221221137. The reversal of 120122221221120 is 21122122221021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873277379 + ... + 1873341501.

It is an arithmetic number, because the mean of its divisors is an integer number (1351063952448).

Almost surely, 2^{120122221221120} is an apocalyptic number.

120122221221120 is a gapful number since it is divisible by the number (10) 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 120122221221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194553209152512).

120122221221120 is an abundant number, since it is smaller than the sum of its proper divisors (268984197083904).

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

120122221221120 is an equidigital number, since it uses as much as digits as its factorization.

120122221221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71089 (or 71075 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120122221221120 its reverse (21122122221021), we get a palindrome (141244343442141).

Subtracting from 120122221221120 its reverse (21122122221021), we obtain a palindrome (99000099000099).

The spelling of 120122221221120 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".