12504412254400 has 336 divisors, whose sum is σ = 33813490798080. Its totient is φ = 4513613414400.

The previous prime is 12504412254359. The next prime is 12504412254407. The reversal of 12504412254400 is 445221440521.

It is not an unprimeable number, because it can be changed into a prime (12504412254407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654237821 + ... + 1654245379.

It is an arithmetic number, because the mean of its divisors is an integer number (100635389280).

Almost surely, 2^{12504412254400} is an apocalyptic number.

12504412254400 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 12504412254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906745399040).

12504412254400 is an abundant number, since it is smaller than the sum of its proper divisors (21309078543680).

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

12504412254400 is a wasteful number, since it uses less digits than its factorization.

12504412254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 12504412254400 its reverse (445221440521), we get a palindrome (12949633694921).

The spelling of 12504412254400 in words is "twelve trillion, five hundred four billion, four hundred twelve million, two hundred fifty-four thousand, four hundred".