12465509056000 has 2880 divisors, whose sum is σ = 45286095254400. Its totient is φ = 3397718016000.

The previous prime is 12465509055977. The next prime is 12465509056061. The reversal of 12465509056000 is 65090556421.

It is a super-2 number, since 2×12465509056000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 656079423991 + ... + 656079424009.

It is an arithmetic number, because the mean of its divisors is an integer number (15724338630).

Almost surely, 2^{12465509056000} is an apocalyptic number.

12465509056000 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 12465509056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643047627200).

12465509056000 is an abundant number, since it is smaller than the sum of its proper divisors (32820586198400).

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

12465509056000 is an equidigital number, since it uses as much as digits as its factorization.

12465509056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 12465509056000 in words is "twelve trillion, four hundred sixty-five billion, five hundred nine million, fifty-six thousand".