12122010013 has 8 divisors (see below), whose sum is σ = 12806081120. Its totient is φ = 11442546000.

The previous prime is 12122009989. The next prime is 12122010071. The reversal of 12122010013 is 31001022121.

12122010013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12122010013 - 2²⁹ = 11585139101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122009975 and 12122010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122010713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146363 + ... + 1156888.

It is an arithmetic number, because the mean of its divisors is an integer number (1600760140).

Almost surely, 2^12122010013 is an apocalyptic number.

It is an amenable number.

12122010013 is a deficient number, since it is larger than the sum of its proper divisors (684071107).

12122010013 is a wasteful number, since it uses less digits than its factorization.

12122010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303547.

The product of its (nonzero) digits is 24, while the sum is 13.

Subtracting from 12122010013 its sum of digits (13), we obtain a square (12122010000 = 110100²).

Adding to 12122010013 its reverse (31001022121), we get a palindrome (43123032134).

The spelling of 12122010013 in words is "twelve billion, one hundred twenty-two million, ten thousand, thirteen".