12977120 has 96 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 4497408.

The previous prime is 12977119. The next prime is 12977131. The reversal of 12977120 is 2177921.

It is a zygodrome in base 2.

It is a congruent number.

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, 35177 + ... + 35543.

It is an arithmetic number, because the mean of its divisors is an integer number (365148).

Almost surely, 2^12977120 is an apocalyptic number.

12977120 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 12977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

12977120 is an abundant number, since it is smaller than the sum of its proper divisors (22077088).

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

12977120 is a wasteful number, since it uses less digits than its factorization.

12977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 12977120 is about 3602.3769930422. The cubic root of 12977120 is about 234.9954427968.

The spelling of 12977120 in words is "twelve million, nine hundred seventy-seven thousand, one hundred twenty".