12011587200 has 672 divisors, whose sum is σ = 47002497600. Its totient is φ = 3023308800.

The previous prime is 12011587199. The next prime is 12011587223. The reversal of 12011587200 is 278511021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 44323065 + ... + 44323335.

Almost surely, 2^12011587200 is an apocalyptic number.

12011587200 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 12011587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23501248800).

12011587200 is an abundant number, since it is smaller than the sum of its proper divisors (34990910400).

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

12011587200 is an equidigital number, since it uses as much as digits as its factorization.

12011587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 12011587200 in words is "twelve billion, eleven million, five hundred eighty-seven thousand, two hundred".