12797213184 has 540 divisors, whose sum is σ = 45632672514. Its totient is φ = 3441844224.

The previous prime is 12797213171. The next prime is 12797213197. The reversal of 12797213184 is 48131279721.

12797213184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12797213171) and next prime (12797213197).

It can be written as a sum of positive squares in only one way, i.e., 11778326784 + 1018886400 = 108528^2 + 31920^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 81510834 + ... + 81510990.

Almost surely, 2^12797213184 is an apocalyptic number.

12797213184 is a gapful number since it is divisible by the number (14) 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 12797213184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816336257).

12797213184 is an abundant number, since it is smaller than the sum of its proper divisors (32835459330).

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

12797213184 is a wasteful number, since it uses less digits than its factorization.

12797213184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 188 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 12797213184 in words is "twelve billion, seven hundred ninety-seven million, two hundred thirteen thousand, one hundred eighty-four".