1003428121128 has 32 divisors (see below), whose sum is σ = 2512703074560. Its totient is φ = 333925004160.

The previous prime is 1003428121123. The next prime is 1003428121147. The reversal of 1003428121128 is 8211218243001.

It is not an unprimeable number, because it can be changed into a prime (1003428121123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34424893 + ... + 34454028.

It is an arithmetic number, because the mean of its divisors is an integer number (78521971080).

Almost surely, 2^{1003428121128} is an apocalyptic number.

It is an amenable number.

1003428121128 is an abundant number, since it is smaller than the sum of its proper divisors (1509274953432).

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

1003428121128 is a wasteful number, since it uses less digits than its factorization.

1003428121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68879537 (or 68879533 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 1003428121128 in words is "one trillion, three billion, four hundred twenty-eight million, one hundred twenty-one thousand, one hundred twenty-eight".