3145123375120 has 80 divisors (see below), whose sum is σ = 7744528568448. Its totient is φ = 1183744440320.

The previous prime is 3145123375117. The next prime is 3145123375127. The reversal of 3145123375120 is 215733215413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3145123375120³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3145123375120.

It is not an unprimeable number, because it can be changed into a prime (3145123375127) 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 15 ways as a sum of consecutive naturals, for example, 5074965 + ... + 5660875.

Almost surely, 2^{3145123375120} is an apocalyptic number.

It is an amenable number.

3145123375120 is an abundant number, since it is smaller than the sum of its proper divisors (4599405193328).

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

3145123375120 is a wasteful number, since it uses less digits than its factorization.

3145123375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589888 (or 589882 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 3145123375120 in words is "three trillion, one hundred forty-five billion, one hundred twenty-three million, three hundred seventy-five thousand, one hundred twenty".