6119120 has 80 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 2088576.

The previous prime is 6119119. The next prime is 6119123. The reversal of 6119120 is 219116.

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 (20).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6119092 and 6119101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6119123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27329 + ... + 27551.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 2^6119120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

6119120 is an abundant number, since it is smaller than the sum of its proper divisors (10546480).

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

6119120 is a wasteful number, since it uses less digits than its factorization.

6119120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 6119120 is about 2473.6855095181. The cubic root of 6119120 is about 182.9067178641.

The spelling of 6119120 in words is "six million, one hundred nineteen thousand, one hundred twenty".