12620130100 has 54 divisors (see below), whose sum is σ = 28362768434. Its totient is φ = 4873948800.

The previous prime is 12620130077. The next prime is 12620130109. The reversal of 12620130100 is 103102621.

It can be written as a sum of positive squares in 9 ways, for example, as 1096536996 + 11523593104 = 33114^2 + 107348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12620130109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9070 + ... + 159130.

Almost surely, 2^12620130100 is an apocalyptic number.

12620130100 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 12620130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181384217).

12620130100 is an abundant number, since it is smaller than the sum of its proper divisors (15742638334).

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

12620130100 is a wasteful number, since it uses less digits than its factorization.

12620130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150133 (or 150097 counting only the distinct ones).

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

Adding to 12620130100 its reverse (103102621), we get a palindrome (12723232721).

The spelling of 12620130100 in words is "twelve billion, six hundred twenty million, one hundred thirty thousand, one hundred".