12325451120640 has 1440 divisors, whose sum is σ = 51662853365760. Its totient is φ = 2658454732800.

The previous prime is 12325451120617. The next prime is 12325451120651. The reversal of 12325451120640 is 4602115452321.

12325451120640 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 5 + 4 + 5 + 1 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12325451120595 and 12325451120604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6559579221 + ... + 6559581099.

It is an arithmetic number, because the mean of its divisors is an integer number (35876981504).

Almost surely, 2^{12325451120640} is an apocalyptic number.

12325451120640 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 12325451120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831426682880).

12325451120640 is an abundant number, since it is smaller than the sum of its proper divisors (39337402245120).

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

12325451120640 is a wasteful number, since it uses less digits than its factorization.

12325451120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12325451120640 its reverse (4602115452321), we get a palindrome (16927566572961).

The spelling of 12325451120640 in words is "twelve trillion, three hundred twenty-five billion, four hundred fifty-one million, one hundred twenty thousand, six hundred forty".