12541119296004 has 672 divisors, whose sum is σ = 39227374771200. Its totient is φ = 3469473596160.

The previous prime is 12541119295967. The next prime is 12541119296011. The reversal of 12541119296004 is 40069291114521.

12541119296004 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 1 + 1 + 19 + 29 + 600 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2170116387 + ... + 2170122165.

It is an arithmetic number, because the mean of its divisors is an integer number (58374069600).

Almost surely, 2^{12541119296004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12541119296004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613687385600).

12541119296004 is an abundant number, since it is smaller than the sum of its proper divisors (26686255475196).

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

12541119296004 is a wasteful number, since it uses less digits than its factorization.

12541119296004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12541119296004 in words is "twelve trillion, five hundred forty-one billion, one hundred nineteen million, two hundred ninety-six thousand, four".