13121676000 has 240 divisors, whose sum is σ = 48162114000. Its totient is φ = 3499027200.

The previous prime is 13121675989. The next prime is 13121676017. The reversal of 13121676000 is 67612131.

13121676000 is a `hidden beast` number, since 1 + 31 + 21 + 6 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303751 + ... + 344249.

It is an arithmetic number, because the mean of its divisors is an integer number (200675475).

Almost surely, 2^13121676000 is an apocalyptic number.

13121676000 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 13121676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081057000).

13121676000 is an abundant number, since it is smaller than the sum of its proper divisors (35040438000).

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

13121676000 is an equidigital number, since it uses as much as digits as its factorization.

13121676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40536 (or 40509 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13121676000 in words is "thirteen billion, one hundred twenty-one million, six hundred seventy-six thousand".