12407052761600 has 360 divisors, whose sum is σ = 35835542851680. Its totient is φ = 4244637573120.

The previous prime is 12407052761567. The next prime is 12407052761603. The reversal of 12407052761600 is 616725070421.

12407052761600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12407052761603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292881221 + ... + 292923579.

It is an arithmetic number, because the mean of its divisors is an integer number (99543174588).

Almost surely, 2^{12407052761600} is an apocalyptic number.

12407052761600 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 12407052761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917771425840).

12407052761600 is an abundant number, since it is smaller than the sum of its proper divisors (23428490090080).

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

12407052761600 is an equidigital number, since it uses as much as digits as its factorization.

12407052761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42868 (or 42840 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 12407052761600 in words is "twelve trillion, four hundred seven billion, fifty-two million, seven hundred sixty-one thousand, six hundred".