12757120 has 64 divisors (see below), whose sum is σ = 31530240. Its totient is φ = 4930560.

The previous prime is 12757099. The next prime is 12757127. The reversal of 12757120 is 2175721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12757120² = 325488221388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12757127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19519 + ... + 20161.

It is an arithmetic number, because the mean of its divisors is an integer number (492660).

Almost surely, 2^12757120 is an apocalyptic number.

12757120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765120).

12757120 is an abundant number, since it is smaller than the sum of its proper divisors (18773120).

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

12757120 is an equidigital number, since it uses as much as digits as its factorization.

12757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 12757120 is about 3571.7110745412. The cubic root of 12757120 is about 233.6599145747.

The spelling of 12757120 in words is "twelve million, seven hundred fifty-seven thousand, one hundred twenty".