12721722216 has 192 divisors, whose sum is σ = 38459842560. Its totient is φ = 3492720000.

The previous prime is 12721722199. The next prime is 12721722241. The reversal of 12721722216 is 61222712721.

It is a super-2 number, since 2×12721722216² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5503701 + ... + 5506011.

It is an arithmetic number, because the mean of its divisors is an integer number (200311680).

Almost surely, 2^12721722216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721722216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229921280).

12721722216 is an abundant number, since it is smaller than the sum of its proper divisors (25738120344).

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

12721722216 is a wasteful number, since it uses less digits than its factorization.

12721722216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2505 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The spelling of 12721722216 in words is "twelve billion, seven hundred twenty-one million, seven hundred twenty-two thousand, two hundred sixteen".