12461125665504 has 48 divisors (see below), whose sum is σ = 33471163135872. Its totient is φ = 4057110680448.

The previous prime is 12461125665497. The next prime is 12461125665517. The reversal of 12461125665504 is 40556652116421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509337644 + ... + 1509345899.

It is an arithmetic number, because the mean of its divisors is an integer number (697315898664).

Almost surely, 2^{12461125665504} is an apocalyptic number.

It is an amenable number.

12461125665504 is an abundant number, since it is smaller than the sum of its proper divisors (21010037470368).

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

12461125665504 is a wasteful number, since it uses less digits than its factorization.

12461125665504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018683599 (or 3018683591 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 12461125665504 in words is "twelve trillion, four hundred sixty-one billion, one hundred twenty-five million, six hundred sixty-five thousand, five hundred four".