12286935438030 has 256 divisors, whose sum is σ = 36437247774720. Its totient is φ = 2921256835200.

The previous prime is 12286935437999. The next prime is 12286935438061. The reversal of 12286935438030 is 3083453968221.

12286935438030 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 6 + 93 + 543 + 8 + 0 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12286935437999) and next prime (12286935438061).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45034725 + ... + 45306735.

It is an arithmetic number, because the mean of its divisors is an integer number (142332999120).

Almost surely, 2^{12286935438030} is an apocalyptic number.

12286935438030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12286935438030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218623887360).

12286935438030 is an abundant number, since it is smaller than the sum of its proper divisors (24150312336690).

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

12286935438030 is a wasteful number, since it uses less digits than its factorization.

12286935438030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272332 (or 272326 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12286935438030 in words is "twelve trillion, two hundred eighty-six billion, nine hundred thirty-five million, four hundred thirty-eight thousand, thirty".