12406126372860 has 768 divisors, whose sum is σ = 43547272151040. Its totient is φ = 2600878325760.

The previous prime is 12406126372859. The next prime is 12406126372907. The reversal of 12406126372860 is 6827362160421.

12406126372860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 754301157 + ... + 754317603.

It is an arithmetic number, because the mean of its divisors is an integer number (56702177280).

Almost surely, 2^{12406126372860} is an apocalyptic number.

12406126372860 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 12406126372860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773636075520).

12406126372860 is an abundant number, since it is smaller than the sum of its proper divisors (31141145778180).

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

12406126372860 is a wasteful number, since it uses less digits than its factorization.

12406126372860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16626 (or 16624 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 12406126372860 in words is "twelve trillion, four hundred six billion, one hundred twenty-six million, three hundred seventy-two thousand, eight hundred sixty".