12430412400 has 240 divisors, whose sum is σ = 45593653248. Its totient is φ = 2835840000.

The previous prime is 12430412347. The next prime is 12430412417. The reversal of 12430412400 is 421403421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5887345 + ... + 5889455.

Almost surely, 2^12430412400 is an apocalyptic number.

12430412400 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 12430412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796826624).

12430412400 is an abundant number, since it is smaller than the sum of its proper divisors (33163240848).

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

12430412400 is a wasteful number, since it uses less digits than its factorization.

12430412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12430412400 its reverse (421403421), we get a palindrome (12851815821).

The spelling of 12430412400 in words is "twelve billion, four hundred thirty million, four hundred twelve thousand, four hundred".