120013003121304 has 512 divisors, whose sum is σ = 331707363840000. Its totient is φ = 36064094330880.

The previous prime is 120013003121273. The next prime is 120013003121339. The reversal of 120013003121304 is 403121300310021.

It is a super-3 number, since 3×120013003121304³ (a number of 43 digits) contains 333 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, 52892463882 + ... + 52892466150.

It is an arithmetic number, because the mean of its divisors is an integer number (647865945000).

Almost surely, 2^{120013003121304} 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 120013003121304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165853681920000).

120013003121304 is an abundant number, since it is smaller than the sum of its proper divisors (211694360718696).

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

120013003121304 is a wasteful number, since it uses less digits than its factorization.

120013003121304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120013003121304 its reverse (403121300310021), we get a palindrome (523134303431325).

The spelling of 120013003121304 in words is "one hundred twenty trillion, thirteen billion, three million, one hundred twenty-one thousand, three hundred four".