12613878000 has 360 divisors, whose sum is σ = 45223467120. Its totient is φ = 3276806400.

The previous prime is 12613877993. The next prime is 12613878031. The reversal of 12613878000 is 87831621.

12613878000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33281811 + ... + 33282189.

It is an arithmetic number, because the mean of its divisors is an integer number (125620742).

Almost surely, 2^12613878000 is an apocalyptic number.

12613878000 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 12613878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22611733560).

12613878000 is an abundant number, since it is smaller than the sum of its proper divisors (32609589120).

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

12613878000 is a wasteful number, since it uses less digits than its factorization.

12613878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12613878000 in words is "twelve billion, six hundred thirteen million, eight hundred seventy-eight thousand".