3116127120 has 80 divisors (see below), whose sum is σ = 9804223680. Its totient is φ = 818560512.

The previous prime is 3116127097. The next prime is 3116127143. The reversal of 3116127120 is 217216113.

3116127120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3116127097) and next prime (3116127143).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80815 + ... + 112974.

It is an arithmetic number, because the mean of its divisors is an integer number (122552796).

Almost surely, 2^3116127120 is an apocalyptic number.

3116127120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3116127120 is an abundant number, since it is smaller than the sum of its proper divisors (6688096560).

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

3116127120 is a wasteful number, since it uses less digits than its factorization.

3116127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193872 (or 193866 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 3116127120 is about 55822.2815728630. The cubic root of 3116127120 is about 1460.6238529890.

The spelling of 3116127120 in words is "three billion, one hundred sixteen million, one hundred twenty-seven thousand, one hundred twenty".