12087263232000 has 2240 divisors, whose sum is σ = 51491642716800. Its totient is φ = 2802843648000.

The previous prime is 12087263231999. The next prime is 12087263232017. The reversal of 12087263232000 is 23236278021.

12087263232000 is a `hidden beast` number, since 1 + 208 + 72 + 63 + 2 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×12087263232000² (a number of 27 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 111 ways as a sum of consecutive naturals, for example, 525533183989 + ... + 525533184011.

Almost surely, 2^{12087263232000} is an apocalyptic number.

12087263232000 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 12087263232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25745821358400).

12087263232000 is an abundant number, since it is smaller than the sum of its proper divisors (39404379484800).

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

12087263232000 is an frugal number, since it uses more digits than its factorization.

12087263232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12087263232000 in words is "twelve trillion, eighty-seven billion, two hundred sixty-three million, two hundred thirty-two thousand".