120122120000000 has 160 divisors (see below), whose sum is σ = 300011364976752. Its totient is φ = 48048832000000.

The previous prime is 120122119999993. The next prime is 120122120000053. The reversal of 120122120000000 is 21221021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 87295087257856 + 32827032742144 = 9343184^2 + 5729488^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38498474 + ... + 41501526.

Almost surely, 2^{120122120000000} is an apocalyptic number.

120122120000000 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 120122120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150005682488376).

120122120000000 is an abundant number, since it is smaller than the sum of its proper divisors (179889244976752).

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

120122120000000 is an frugal number, since it uses more digits than its factorization.

120122120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003106 (or 3003060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120122120000000 its reverse (21221021), we get a palindrome (120122141221021).

The spelling of 120122120000000 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty million", and thus it is an aban number.