120122220112000 has 256 divisors, whose sum is σ = 305245045123200. Its totient is φ = 46999933440000.

The previous prime is 120122220111991. The next prime is 120122220112007. The reversal of 120122220112000 is 211022221021.

It is a happy number.

It is a super-3 number, since 3×120122220112000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120122220112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133680211 + ... + 134575789.

Almost surely, 2^{120122220112000} is an apocalyptic number.

120122220112000 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 120122220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152622522561600).

120122220112000 is an abundant number, since it is smaller than the sum of its proper divisors (185122825011200).

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

120122220112000 is an equidigital number, since it uses as much as digits as its factorization.

120122220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895792 (or 895770 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120122220112000 its reverse (211022221021), we get a palindrome (120333242333021).

The spelling of 120122220112000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand".