13218072000 has 896 divisors, whose sum is σ = 54319749120. Its totient is φ = 2764800000.

The previous prime is 13218071983. The next prime is 13218072011. The reversal of 13218072000 is 27081231.

13218072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 130871950 + ... + 130872050.

It is an arithmetic number, because the mean of its divisors is an integer number (60624720).

Almost surely, 2^13218072000 is an apocalyptic number.

13218072000 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 13218072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159874560).

13218072000 is an abundant number, since it is smaller than the sum of its proper divisors (41101677120).

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

13218072000 is a wasteful number, since it uses less digits than its factorization.

13218072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 13218072000 in words is "thirteen billion, two hundred eighteen million, seventy-two thousand".