12430197882240 has 512 divisors, whose sum is σ = 42564343449600. Its totient is φ = 3074467823616.

The previous prime is 12430197882187. The next prime is 12430197882241. The reversal of 12430197882240 is 4228879103421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430197882241) 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, 756684907 + ... + 756701333.

It is an arithmetic number, because the mean of its divisors is an integer number (83133483300).

Almost surely, 2^{12430197882240} is an apocalyptic number.

12430197882240 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 12430197882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282171724800).

12430197882240 is an abundant number, since it is smaller than the sum of its proper divisors (30134145567360).

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

12430197882240 is a wasteful number, since it uses less digits than its factorization.

12430197882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16802 (or 16790 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 12430197882240 in words is "twelve trillion, four hundred thirty billion, one hundred ninety-seven million, eight hundred eighty-two thousand, two hundred forty".