12429028800 has 420 divisors, whose sum is σ = 47275653480. Its totient is φ = 3199150080.

The previous prime is 12429028721. The next prime is 12429028813. The reversal of 12429028800 is 882092421.

It is a super-2 number, since 2×12429028800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3756747 + ... + 3760053.

Almost surely, 2^12429028800 is an apocalyptic number.

12429028800 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 12429028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637826740).

12429028800 is an abundant number, since it is smaller than the sum of its proper divisors (34846624680).

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

12429028800 is a wasteful number, since it uses less digits than its factorization.

12429028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12429028800 in words is "twelve billion, four hundred twenty-nine million, twenty-eight thousand, eight hundred".