12430541200 has 480 divisors, whose sum is σ = 39394050048. Its totient is φ = 3656448000.

The previous prime is 12430541197. The next prime is 12430541261. The reversal of 12430541200 is 214503421.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 44875462 + ... + 44875738.

Almost surely, 2^12430541200 is an apocalyptic number.

12430541200 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 12430541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697025024).

12430541200 is an abundant number, since it is smaller than the sum of its proper divisors (26963508848).

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

12430541200 is a wasteful number, since it uses less digits than its factorization.

12430541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 12430541200 in words is "twelve billion, four hundred thirty million, five hundred forty-one thousand, two hundred".