12576345320000 has 1120 divisors, whose sum is σ = 40641214648320. Its totient is φ = 3745244160000.

The previous prime is 12576345319999. The next prime is 12576345320047. The reversal of 12576345320000 is 2354367521.

It is a tau number, because it is divible by the number of its divisors (1120).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9199959317 + ... + 9199960683.

Almost surely, 2^{12576345320000} is an apocalyptic number.

12576345320000 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 12576345320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320607324160).

12576345320000 is an abundant number, since it is smaller than the sum of its proper divisors (28064869328320).

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

12576345320000 is a wasteful number, since it uses less digits than its factorization.

12576345320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

Adding to 12576345320000 its reverse (2354367521), we get a palindrome (12578699687521).

The spelling of 12576345320000 in words is "twelve trillion, five hundred seventy-six billion, three hundred forty-five million, three hundred twenty thousand".