12381078528 has 1056 divisors, whose sum is σ = 49658582400. Its totient is φ = 3009871872.

The previous prime is 12381078487. The next prime is 12381078553. The reversal of 12381078528 is 82587018321.

12381078528 is a `hidden beast` number, since 12 + 3 + 8 + 107 + 8 + 528 = 666.

It is a super-2 number, since 2×12381078528² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334623726 + ... + 334623762.

Almost surely, 2^12381078528 is an apocalyptic number.

12381078528 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 12381078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24829291200).

12381078528 is an abundant number, since it is smaller than the sum of its proper divisors (37277503872).

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

12381078528 is a wasteful number, since it uses less digits than its factorization.

12381078528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12381078528 in words is "twelve billion, three hundred eighty-one million, seventy-eight thousand, five hundred twenty-eight".