12722677128 has 252 divisors, whose sum is σ = 41803659495. Its totient is φ = 3617822880.

The previous prime is 12722677117. The next prime is 12722677129. The reversal of 12722677128 is 82177622721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6361338564 + 6361338564 = 79758^2 + 79758^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79758.

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

It is not an unprimeable number, because it can be changed into a prime (12722677129) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 60296943 + ... + 60297153.

Almost surely, 2^12722677128 is an apocalyptic number.

12722677128 is a gapful number since it is divisible by the number (18) 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 12722677128

12722677128 is an abundant number, since it is smaller than the sum of its proper divisors (29080982367).

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

12722677128 is an frugal number, since it uses more digits than its factorization.

12722677128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 223 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 12722677128 in words is "twelve billion, seven hundred twenty-two million, six hundred seventy-seven thousand, one hundred twenty-eight".