3121123824 has 120 divisors (see below), whose sum is σ = 10750582752. Its totient is φ = 823150080.

The previous prime is 3121123793. The next prime is 3121123843. The reversal of 3121123824 is 4283211213.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105987 + ... + 132194.

Almost surely, 2^3121123824 is an apocalyptic number.

It is an amenable number.

3121123824 is an abundant number, since it is smaller than the sum of its proper divisors (7629458928).

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

3121123824 is a wasteful number, since it uses less digits than its factorization.

3121123824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238215 (or 238206 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3121123824 is about 55867.0191078780. The cubic root of 3121123824 is about 1461.4041386127.

The spelling of 3121123824 in words is "three billion, one hundred twenty-one million, one hundred twenty-three thousand, eight hundred twenty-four".