120120002310 has 256 divisors, whose sum is σ = 370357567488. Its totient is φ = 24210278400.

The previous prime is 120120002309. The next prime is 120120002323. The reversal of 120120002310 is 13200021021.

It is a super-2 number, since 2×120120002310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12263515 + ... + 12273305.

It is an arithmetic number, because the mean of its divisors is an integer number (1446709248).

Almost surely, 2^120120002310 is an apocalyptic number.

120120002310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120002310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185178783744).

120120002310 is an abundant number, since it is smaller than the sum of its proper divisors (250237565178).

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

120120002310 is a wasteful number, since it uses less digits than its factorization.

120120002310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120120002310 its reverse (13200021021), we get a palindrome (133320023331).

The spelling of 120120002310 in words is "one hundred twenty billion, one hundred twenty million, two thousand, three hundred ten".