12115973364510 has 128 divisors (see below), whose sum is σ = 30385204475904. Its totient is φ = 3089714457600.

The previous prime is 12115973364491. The next prime is 12115973364527. The reversal of 12115973364510 is 1546337951121.

12115973364510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12115973364510.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10463460 + ... + 11563560.

It is an arithmetic number, because the mean of its divisors is an integer number (237384409968).

Almost surely, 2^{12115973364510} is an apocalyptic number.

12115973364510 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 12115973364510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192602237952).

12115973364510 is an abundant number, since it is smaller than the sum of its proper divisors (18269231111394).

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

12115973364510 is a wasteful number, since it uses less digits than its factorization.

12115973364510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100338.

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 12115973364510 in words is "twelve trillion, one hundred fifteen billion, nine hundred seventy-three million, three hundred sixty-four thousand, five hundred ten".