12282104640 has 224 divisors, whose sum is σ = 44206485120. Its totient is φ = 2864111616.

The previous prime is 12282104617. The next prime is 12282104647. The reversal of 12282104640 is 4640128221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12282104598 and 12282104607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12282104647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211222 + ... + 263018.

It is an arithmetic number, because the mean of its divisors is an integer number (197350380).

Almost surely, 2^12282104640 is an apocalyptic number.

12282104640 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 12282104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22103242560).

12282104640 is an abundant number, since it is smaller than the sum of its proper divisors (31924380480).

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

12282104640 is a wasteful number, since it uses less digits than its factorization.

12282104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51849 (or 51839 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 12282104640 in words is "twelve billion, two hundred eighty-two million, one hundred four thousand, six hundred forty".