381128121375 has 32 divisors (see below), whose sum is σ = 634276890624. Its totient is φ = 203242788000.

The previous prime is 381128121373. The next prime is 381128121397. The reversal of 381128121375 is 573121821183.

It is not a de Polignac number, because 381128121375 - 2¹ = 381128121373 is a prime.

It is a super-3 number, since 3×381128121375³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381128121373) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3138030 + ... + 3257220.

It is an arithmetic number, because the mean of its divisors is an integer number (19821152832).

Almost surely, 2^381128121375 is an apocalyptic number.

381128121375 is a deficient number, since it is larger than the sum of its proper divisors (253148769249).

381128121375 is a wasteful number, since it uses less digits than its factorization.

381128121375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127736 (or 127726 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

It can be divided in two parts, 381128 and 121375, that added together give a triangular number (502503 = T₁₀₀₂).

The spelling of 381128121375 in words is "three hundred eighty-one billion, one hundred twenty-eight million, one hundred twenty-one thousand, three hundred seventy-five".