12129004800 has 648 divisors, whose sum is σ = 49127376480. Its totient is φ = 2936217600.

The previous prime is 12129004799. The next prime is 12129004801. The reversal of 12129004800 is 840092121.

It is an interprime number because it is at equal distance from previous prime (12129004799) and next prime (12129004801).

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×12129004800³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129004801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17106846 + ... + 17107554.

Almost surely, 2^12129004800 is an apocalyptic number.

12129004800 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 12129004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563688240).

12129004800 is an abundant number, since it is smaller than the sum of its proper divisors (36998371680).

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

12129004800 is an equidigital number, since it uses as much as digits as its factorization.

12129004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 12129004800 its reverse (840092121), we get a palindrome (12969096921).

The spelling of 12129004800 in words is "twelve billion, one hundred twenty-nine million, four thousand, eight hundred".