12177120 has 96 divisors (see below), whose sum is σ = 40061952. Its totient is φ = 3103232.

The previous prime is 12177103. The next prime is 12177131. The reversal of 12177120 is 2177121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 10489 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 2^12177120 is an apocalyptic number.

12177120 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 12177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976).

12177120 is an abundant number, since it is smaller than the sum of its proper divisors (27884832).

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

12177120 is a wasteful number, since it uses less digits than its factorization.

12177120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 12177120 is about 3489.5730397858. The cubic root of 12177120 is about 230.0637504442.

Subtracting from 12177120 its reverse (2177121), we obtain a palindrome (9999999).

The spelling of 12177120 in words is "twelve million, one hundred seventy-seven thousand, one hundred twenty".