12303627840 has 1120 divisors, whose sum is σ = 54524574720. Its totient is φ = 2570932224.

The previous prime is 12303627839. The next prime is 12303627863. The reversal of 12303627840 is 4872630321.

It is a happy number.

12303627840 is a `hidden beast` number, since 1 + 23 + 0 + 3 + 627 + 8 + 4 + 0 = 666.

12303627840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 12303627795 and 12303627804.

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 159 ways as a sum of consecutive naturals, for example, 148236439 + ... + 148236521.

It is an arithmetic number, because the mean of its divisors is an integer number (48682656).

Almost surely, 2^12303627840 is an apocalyptic number.

12303627840 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 12303627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262287360).

12303627840 is an abundant number, since it is smaller than the sum of its proper divisors (42220946880).

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

12303627840 is a wasteful number, since it uses less digits than its factorization.

12303627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

12303627840 divided by its sum of digits (36) gives a triangular number (341767440 = T₂₆₁₄₄).

The spelling of 12303627840 in words is "twelve billion, three hundred three million, six hundred twenty-seven thousand, eight hundred forty".