12409530100 has 162 divisors, whose sum is σ = 30181967970. Its totient is φ = 4425062400.

The previous prime is 12409530083. The next prime is 12409530127. The reversal of 12409530100 is 103590421.

It can be written as a sum of positive squares in 9 ways, for example, as 2691119376 + 9718410724 = 51876^2 + 98582^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 113848846 + ... + 113848954.

Almost surely, 2^12409530100 is an apocalyptic number.

12409530100 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 12409530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090983985).

12409530100 is an abundant number, since it is smaller than the sum of its proper divisors (17772437870).

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

12409530100 is a wasteful number, since it uses less digits than its factorization.

12409530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 12409530100 in words is "twelve billion, four hundred nine million, five hundred thirty thousand, one hundred".