12129994800 has 360 divisors, whose sum is σ = 52482593280. Its totient is φ = 2520460800.

The previous prime is 12129994783. The next prime is 12129994823. The reversal of 12129994800 is 849992121.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255321 + ... + 299079.

Almost surely, 2^12129994800 is an apocalyptic number.

12129994800 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 12129994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241296640).

12129994800 is an abundant number, since it is smaller than the sum of its proper divisors (40352598480).

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

12129994800 is a wasteful number, since it uses less digits than its factorization.

12129994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43801 (or 43787 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12129994800 in words is "twelve billion, one hundred twenty-nine million, nine hundred ninety-four thousand, eight hundred".