13121200003120 has 160 divisors (see below), whose sum is σ = 34010608896000. Its totient is φ = 4667726269440.

The previous prime is 13121200003091. The next prime is 13121200003201. The reversal of 13121200003120 is 2130000212131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13121200003094 and 13121200003103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6711901 + ... + 8443459.

It is an arithmetic number, because the mean of its divisors is an integer number (212566305600).

Almost surely, 2^{13121200003120} is an apocalyptic number.

13121200003120 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 13121200003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005304448000).

13121200003120 is an abundant number, since it is smaller than the sum of its proper divisors (20889408892880).

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

13121200003120 is a wasteful number, since it uses less digits than its factorization.

13121200003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731771 (or 1731765 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13121200003120 its reverse (2130000212131), we get a palindrome (15251200215251).

The spelling of 13121200003120 in words is "thirteen trillion, one hundred twenty-one billion, two hundred million, three thousand, one hundred twenty".