12451072128 has 128 divisors (see below), whose sum is σ = 37244067840. Its totient is φ = 3651302400.

The previous prime is 12451072091. The next prime is 12451072129. The reversal of 12451072128 is 82127015421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12451072129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83401 + ... + 178487.

It is an arithmetic number, because the mean of its divisors is an integer number (290969280).

Almost surely, 2^12451072128 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 12451072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622033920).

12451072128 is an abundant number, since it is smaller than the sum of its proper divisors (24792995712).

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

12451072128 is a wasteful number, since it uses less digits than its factorization.

12451072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95146 (or 95134 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 12451072128 its reverse (82127015421), we get a palindrome (94578087549).

The spelling of 12451072128 in words is "twelve billion, four hundred fifty-one million, seventy-two thousand, one hundred twenty-eight".