120322112103296 has 128 divisors (see below), whose sum is σ = 250805788853760. Its totient is φ = 57437888901120.

The previous prime is 120322112103287. The next prime is 120322112103311. The reversal of 120322112103296 is 692301211223021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 2413997351 + ... + 2414047193.

It is an arithmetic number, because the mean of its divisors is an integer number (1959420225420).

Almost surely, 2^{120322112103296} is an apocalyptic number.

120322112103296 is a gapful number since it is divisible by the number (16) 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 120322112103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125402894426880).

120322112103296 is an abundant number, since it is smaller than the sum of its proper divisors (130483676750464).

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

120322112103296 is an equidigital number, since it uses as much as digits as its factorization.

120322112103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59732 (or 59720 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 120322112103296 in words is "one hundred twenty trillion, three hundred twenty-two billion, one hundred twelve million, one hundred three thousand, two hundred ninety-six".