120110313120 has 480 divisors, whose sum is σ = 446719613760. Its totient is φ = 27122135040.

The previous prime is 120110313101. The next prime is 120110313199. The reversal of 120110313120 is 21313011021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120110313120.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102570135 + ... + 102571305.

It is an arithmetic number, because the mean of its divisors is an integer number (930665862).

Almost surely, 2^120110313120 is an apocalyptic number.

120110313120 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 120110313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223359806880).

120110313120 is an abundant number, since it is smaller than the sum of its proper divisors (326609300640).

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

120110313120 is an equidigital number, since it uses as much as digits as its factorization.

120110313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120110313120 its reverse (21313011021), we get a palindrome (141423324141).

The spelling of 120110313120 in words is "one hundred twenty billion, one hundred ten million, three hundred thirteen thousand, one hundred twenty".