12460946040000 has 700 divisors, whose sum is σ = 46715036921784. Its totient is φ = 3282812928000.

The previous prime is 12460946039987. The next prime is 12460946040001. The reversal of 12460946040000 is 4064906421.

12460946040000 is a `hidden beast` number, since 1 + 2 + 4 + 609 + 4 + 6 + 0 + 40 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12460946040001) by changing a digit.

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 99 ways as a sum of consecutive naturals, for example, 268896832 + ... + 268943168.

Almost surely, 2^{12460946040000} is an apocalyptic number.

12460946040000 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 12460946040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357518460892).

12460946040000 is an abundant number, since it is smaller than the sum of its proper divisors (34254090881784).

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

12460946040000 is an frugal number, since it uses more digits than its factorization.

12460946040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46464 (or 46430 counting only the distinct ones).

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

The spelling of 12460946040000 in words is "twelve trillion, four hundred sixty billion, nine hundred forty-six million, forty thousand".