12506166121254 has 192 divisors, whose sum is σ = 29936210148864. Its totient is φ = 3462864058368.

The previous prime is 12506166121199. The next prime is 12506166121301. The reversal of 12506166121254 is 45212166160521.

It is a happy number.

It is a congruent number.

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, 1406288832 + ... + 1406297724.

It is an arithmetic number, because the mean of its divisors is an integer number (155917761192).

Almost surely, 2^{12506166121254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12506166121254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968105074432).

12506166121254 is an abundant number, since it is smaller than the sum of its proper divisors (17430044027610).

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

12506166121254 is a wasteful number, since it uses less digits than its factorization.

12506166121254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12511 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 12506166121254 in words is "twelve trillion, five hundred six billion, one hundred sixty-six million, one hundred twenty-one thousand, two hundred fifty-four".