12309852240 has 240 divisors, whose sum is σ = 49733424000. Its totient is φ = 2665571328.

The previous prime is 12309852223. The next prime is 12309852257. The reversal of 12309852240 is 4225890321.

It is a happy number.

12309852240 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 98 + 522 + 40 = 666.

12309852240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12309852223) and next prime (12309852257).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12309852195 and 12309852204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31486 + ... + 160034.

It is an arithmetic number, because the mean of its divisors is an integer number (207222600).

Almost surely, 2^12309852240 is an apocalyptic number.

12309852240 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 12309852240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866712000).

12309852240 is an abundant number, since it is smaller than the sum of its proper divisors (37423571760).

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

12309852240 is a wasteful number, since it uses less digits than its factorization.

12309852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128594 (or 128585 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12309852240 in words is "twelve billion, three hundred nine million, eight hundred fifty-two thousand, two hundred forty".