12951400014126 has 96 divisors (see below), whose sum is σ = 32642730432000. Its totient is φ = 3634718633280.

The previous prime is 12951400014071. The next prime is 12951400014173. The reversal of 12951400014126 is 62141000415921.

12951400014126 is a `hidden beast` number, since 1 + 2 + 9 + 514 + 0 + 0 + 0 + 14 + 126 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284476 + ... + 5097423.

It is an arithmetic number, because the mean of its divisors is an integer number (340028442000).

Almost surely, 2^{12951400014126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12951400014126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321365216000).

12951400014126 is an abundant number, since it is smaller than the sum of its proper divisors (19691330417874).

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

12951400014126 is a wasteful number, since it uses less digits than its factorization.

12951400014126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382254 (or 5382251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12951400014126 in words is "twelve trillion, nine hundred fifty-one billion, four hundred million, fourteen thousand, one hundred twenty-six".