6121120 has 48 divisors (see below), whose sum is σ = 14702688. Its totient is φ = 2407680.

The previous prime is 6121109. The next prime is 6121121. The reversal of 6121120 is 211216.

It is a super-2 number, since 2×6121120² = 74936220108800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6121120.

It is not an unprimeable number, because it can be changed into a prime (6121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10435 + ... + 11005.

It is an arithmetic number, because the mean of its divisors is an integer number (306306).

Almost surely, 2^6121120 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 6121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344).

6121120 is an abundant number, since it is smaller than the sum of its proper divisors (8581568).

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

6121120 is a wasteful number, since it uses less digits than its factorization.

6121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 6121120 is about 2474.0897315983. The cubic root of 6121120 is about 182.9266430379.

Adding to 6121120 its reverse (211216), we get a palindrome (6332336).

It can be divided in two parts, 6121 and 120, that added together give a square (6241 = 79²).

The spelling of 6121120 in words is "six million, one hundred twenty-one thousand, one hundred twenty".