12283488000 has 720 divisors, whose sum is σ = 52317929664. Its totient is φ = 2803507200.

The previous prime is 12283487987. The next prime is 12283488017. The reversal of 12283488000 is 88438221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12283488000² (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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18143662 + ... + 18144338.

Almost surely, 2^12283488000 is an apocalyptic number.

12283488000 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 12283488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26158964832).

12283488000 is an abundant number, since it is smaller than the sum of its proper divisors (40034441664).

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

12283488000 is an frugal number, since it uses more digits than its factorization.

12283488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 694 counting only the distinct ones).

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

The spelling of 12283488000 in words is "twelve billion, two hundred eighty-three million, four hundred eighty-eight thousand".