510104243000120 has 128 divisors (see below), whose sum is σ = 1173271682304000. Its totient is φ = 199510083941376.

The previous prime is 510104243000101. The next prime is 510104243000137. The reversal of 510104243000120 is 21000342401015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30117736292 + ... + 30117753228.

It is an arithmetic number, because the mean of its divisors is an integer number (9166185018000).

Almost surely, 2^{510104243000120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510104243000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586635841152000).

510104243000120 is an abundant number, since it is smaller than the sum of its proper divisors (663167439303880).

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

510104243000120 is a wasteful number, since it uses less digits than its factorization.

510104243000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31317 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 510104243000120 its reverse (21000342401015), we get a palindrome (531104585401135).

The spelling of 510104243000120 in words is "five hundred ten trillion, one hundred four billion, two hundred forty-three million, one hundred twenty", and thus it is an aban number.