12085115640 has 384 divisors, whose sum is σ = 41488588800. Its totient is φ = 2810695680.

The previous prime is 12085115633. The next prime is 12085115641. The reversal of 12085115640 is 4651158021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085115641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29547756 + ... + 29548164.

It is an arithmetic number, because the mean of its divisors is an integer number (108043200).

Almost surely, 2^12085115640 is an apocalyptic number.

12085115640 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 12085115640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744294400).

12085115640 is an abundant number, since it is smaller than the sum of its proper divisors (29403473160).

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

12085115640 is a wasteful number, since it uses less digits than its factorization.

12085115640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 12085115640 in words is "twelve billion, eighty-five million, one hundred fifteen thousand, six hundred forty".