12300346076040 has 384 divisors, whose sum is σ = 46252446439680. Its totient is φ = 2805494630400.

The previous prime is 12300346076033. The next prime is 12300346076093. The reversal of 12300346076040 is 4067064300321.

It is a happy number.

12300346076040 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 3 + 4 + 607 + 6 + 0 + 40 = 666.

12300346076040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12300346075986 and 12300346076004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4448914 + ... + 6662846.

It is an arithmetic number, because the mean of its divisors is an integer number (120449079270).

Almost surely, 2^{12300346076040} is an apocalyptic number.

12300346076040 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 12300346076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23126223219840).

12300346076040 is an abundant number, since it is smaller than the sum of its proper divisors (33952100363640).

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

12300346076040 is a wasteful number, since it uses less digits than its factorization.

12300346076040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214045 (or 2214038 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 12300346076040 in words is "twelve trillion, three hundred billion, three hundred forty-six million, seventy-six thousand, forty".