12120100213 has 8 divisors (see below), whose sum is σ = 13058553368. Its totient is φ = 11182523904.

The previous prime is 12120100183. The next prime is 12120100319. The reversal of 12120100213 is 31200102121.

12120100213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 485673444 + 11634426769 = 22038^2 + 107863^2 .

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 12120100213 - 2²¹ = 12118003061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12120100193 and 12120100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120100913) 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, 190356 + ... + 245917.

It is an arithmetic number, because the mean of its divisors is an integer number (1632319171).

Almost surely, 2^12120100213 is an apocalyptic number.

12120100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12120100213 is a deficient number, since it is larger than the sum of its proper divisors (938453155).

12120100213 is a wasteful number, since it uses less digits than its factorization.

12120100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438423.

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

Adding to 12120100213 its reverse (31200102121), we get a palindrome (43320202334).

The spelling of 12120100213 in words is "twelve billion, one hundred twenty million, one hundred thousand, two hundred thirteen".