13121974080 has 280 divisors, whose sum is σ = 46853737128. Its totient is φ = 3485970432.

The previous prime is 13121974057. The next prime is 13121974111. The reversal of 13121974080 is 8047912131.

It is a happy number.

13121974080 is a `hidden beast` number, since 1 + 31 + 219 + 7 + 408 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164249856 + 12957724224 = 12816^2 + 113832^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8215842 + ... + 8217438.

Almost surely, 2^13121974080 is an apocalyptic number.

13121974080 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 13121974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426868564).

13121974080 is an abundant number, since it is smaller than the sum of its proper divisors (33731763048).

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

13121974080 is a wasteful number, since it uses less digits than its factorization.

13121974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13121974080 in words is "thirteen billion, one hundred twenty-one million, nine hundred seventy-four thousand, eighty".