13121628912 has 640 divisors, whose sum is σ = 47996928000. Its totient is φ = 3348034560.

The previous prime is 13121628901. The next prime is 13121628917. The reversal of 13121628912 is 21982612131.

13121628912 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 628 + 9 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121628917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94400139 + ... + 94400277.

It is an arithmetic number, because the mean of its divisors is an integer number (74995200).

Almost surely, 2^13121628912 is an apocalyptic number.

13121628912 is a gapful number since it is divisible by the number (12) 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 13121628912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464000).

13121628912 is an abundant number, since it is smaller than the sum of its proper divisors (34875299088).

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

13121628912 is a wasteful number, since it uses less digits than its factorization.

13121628912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 13121628912 in words is "thirteen billion, one hundred twenty-one million, six hundred twenty-eight thousand, nine hundred twelve".