12421120320 has 336 divisors, whose sum is σ = 48956244480. Its totient is φ = 2831597568.

The previous prime is 12421120301. The next prime is 12421120343. The reversal of 12421120320 is 2302112421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12421120293 and 12421120302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11954361 + ... + 11955399.

Almost surely, 2^12421120320 is an apocalyptic number.

12421120320 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 12421120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478122240).

12421120320 is an abundant number, since it is smaller than the sum of its proper divisors (36535124160).

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

12421120320 is a wasteful number, since it uses less digits than its factorization.

12421120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12421120320 its reverse (2302112421), we get a palindrome (14723232741).

The spelling of 12421120320 in words is "twelve billion, four hundred twenty-one million, one hundred twenty thousand, three hundred twenty".