12282732000 has 1152 divisors, whose sum is σ = 57005544960. Its totient is φ = 2540160000.

The previous prime is 12282731977. The next prime is 12282732031. The reversal of 12282732000 is 23728221.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58211895 + ... + 58212105.

It is an arithmetic number, because the mean of its divisors is an integer number (49483980).

Almost surely, 2^12282732000 is an apocalyptic number.

12282732000 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 12282732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28502772480).

12282732000 is an abundant number, since it is smaller than the sum of its proper divisors (44722812960).

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

12282732000 is a wasteful number, since it uses less digits than its factorization.

12282732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12282732000 in words is "twelve billion, two hundred eighty-two million, seven hundred thirty-two thousand".