12088003200 has 768 divisors, whose sum is σ = 49849309440. Its totient is φ = 2506752000.

The previous prime is 12088003189. The next prime is 12088003201. The reversal of 12088003200 is 230088021.

It is a super-2 number, since 2×12088003200² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12088003201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88233532 + ... + 88233668.

It is an arithmetic number, because the mean of its divisors is an integer number (64907955).

Almost surely, 2^12088003200 is an apocalyptic number.

12088003200 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 12088003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24924654720).

12088003200 is an abundant number, since it is smaller than the sum of its proper divisors (37761306240).

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

12088003200 is a wasteful number, since it uses less digits than its factorization.

12088003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12088003200 in words is "twelve billion, eighty-eight million, three thousand, two hundred".