12429312000 has 720 divisors, whose sum is σ = 50216869248. Its totient is φ = 2673868800.

The previous prime is 12429311959. The next prime is 12429312011. The reversal of 12429312000 is 21392421.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 731135992 + ... + 731136008.

Almost surely, 2^12429312000 is an apocalyptic number.

12429312000 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 12429312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108434624).

12429312000 is an abundant number, since it is smaller than the sum of its proper divisors (37787557248).

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

12429312000 is an frugal number, since it uses more digits than its factorization.

12429312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 12429312000 in words is "twelve billion, four hundred twenty-nine million, three hundred twelve thousand".