12426432940128 has 96 divisors (see below), whose sum is σ = 33680607916032. Its totient is φ = 4007457331200.

The previous prime is 12426432940111. The next prime is 12426432940171. The reversal of 12426432940128 is 82104923462421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10637625 + ... + 11747847.

It is an arithmetic number, because the mean of its divisors is an integer number (350839665792).

Almost surely, 2^{12426432940128} 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 12426432940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840303958016).

12426432940128 is an abundant number, since it is smaller than the sum of its proper divisors (21254174975904).

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

12426432940128 is a wasteful number, since it uses less digits than its factorization.

12426432940128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114028 (or 1114020 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 12426432940128 in words is "twelve trillion, four hundred twenty-six billion, four hundred thirty-two million, nine hundred forty thousand, one hundred twenty-eight".