12283305689088 has 640 divisors, whose sum is σ = 42137977411200. Its totient is φ = 3492980195328.

The previous prime is 12283305689063. The next prime is 12283305689113. The reversal of 12283305689088 is 88098650338221.

12283305689088 is a `hidden beast` number, since 12 + 28 + 3 + 30 + 568 + 9 + 0 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12283305689063) and next prime (12283305689113).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4254693981 + ... + 4254696867.

It is an arithmetic number, because the mean of its divisors is an integer number (65840589705).

Almost surely, 2^{12283305689088} is an apocalyptic number.

12283305689088 is a gapful number since it is divisible by the number (18) 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 12283305689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068988705600).

12283305689088 is an abundant number, since it is smaller than the sum of its proper divisors (29854671722112).

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

12283305689088 is an frugal number, since it uses more digits than its factorization.

12283305689088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 12283305689088 in words is "twelve trillion, two hundred eighty-three billion, three hundred five million, six hundred eighty-nine thousand, eighty-eight".