12903243840 has 448 divisors, whose sum is σ = 47219128320. Its totient is φ = 3314442240.

The previous prime is 12903243833. The next prime is 12903243883. The reversal of 12903243840 is 4834230921.

12903243840 is a `hidden beast` number, since 1 + 290 + 324 + 3 + 8 + 40 = 666.

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 = 12903243795 and 12903243804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57861969 + ... + 57862191.

It is an arithmetic number, because the mean of its divisors is an integer number (105399840).

Almost surely, 2^12903243840 is an apocalyptic number.

12903243840 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 12903243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609564160).

12903243840 is an abundant number, since it is smaller than the sum of its proper divisors (34315884480).

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

12903243840 is a wasteful number, since it uses less digits than its factorization.

12903243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12903243840 in words is "twelve billion, nine hundred three million, two hundred forty-three thousand, eight hundred forty".