12451135224000 has 672 divisors, whose sum is σ = 45630879211008. Its totient is φ = 2989079808000.

The previous prime is 12451135223971. The next prime is 12451135224061. The reversal of 12451135224000 is 42253115421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299091187 + ... + 299132813.

It is an arithmetic number, because the mean of its divisors is an integer number (67903094064).

Almost surely, 2^{12451135224000} is an apocalyptic number.

12451135224000 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 12451135224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815439605504).

12451135224000 is an abundant number, since it is smaller than the sum of its proper divisors (33179743987008).

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

12451135224000 is a wasteful number, since it uses less digits than its factorization.

12451135224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41782 (or 41751 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12451135224000 its reverse (42253115421), we get a palindrome (12493388339421).

The spelling of 12451135224000 in words is "twelve trillion, four hundred fifty-one billion, one hundred thirty-five million, two hundred twenty-four thousand".