126403123872 has 48 divisors (see below), whose sum is σ = 331865184672. Its totient is φ = 42127138560.

The previous prime is 126403123817. The next prime is 126403123921. The reversal of 126403123872 is 278321304621.

126403123872 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126403123872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464103 + ... + 684249.

It is an arithmetic number, because the mean of its divisors is an integer number (6913858014).

Almost surely, 2^126403123872 is an apocalyptic number.

126403123872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126403123872 is an abundant number, since it is smaller than the sum of its proper divisors (205462060800).

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

126403123872 is a wasteful number, since it uses less digits than its factorization.

126403123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226141 (or 226133 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 126403123872 in words is "one hundred twenty-six billion, four hundred three million, one hundred twenty-three thousand, eight hundred seventy-two".