12038284800 has 600 divisors, whose sum is σ = 47244505176. Its totient is φ = 3016949760.

The previous prime is 12038284789. The next prime is 12038284837. The reversal of 12038284800 is 848283021.

It is a happy number.

12038284800 is a `hidden beast` number, since 120 + 38 + 28 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×12038284800² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17625259 + ... + 17625941.

Almost surely, 2^12038284800 is an apocalyptic number.

12038284800 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 12038284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23622252588).

12038284800 is an abundant number, since it is smaller than the sum of its proper divisors (35206220376).

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

12038284800 is an equidigital number, since it uses as much as digits as its factorization.

12038284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12038284800 in words is "twelve billion, thirty-eight million, two hundred eighty-four thousand, eight hundred".