13124212432320 has 448 divisors, whose sum is σ = 47736177970176. Its totient is φ = 3023902801920.

The previous prime is 13124212432319. The next prime is 13124212432321. The reversal of 13124212432320 is 2323421242131.

It is a happy number.

13124212432320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13124212432319) and next prime (13124212432321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124212432321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37960072 + ... + 38304248.

Almost surely, 2^{13124212432320} is an apocalyptic number.

13124212432320 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 13124212432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868088985088).

13124212432320 is an abundant number, since it is smaller than the sum of its proper divisors (34611965537856).

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

13124212432320 is a wasteful number, since it uses less digits than its factorization.

13124212432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344388 (or 344378 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13124212432320 its reverse (2323421242131), we get a palindrome (15447633674451).

The spelling of 13124212432320 in words is "thirteen trillion, one hundred twenty-four billion, two hundred twelve million, four hundred thirty-two thousand, three hundred twenty".