12417120 has 72 divisors (see below), whose sum is σ = 42378336. Its totient is φ = 3310848.

The previous prime is 12417103. The next prime is 12417149. The reversal of 12417120 is 2171421.

12417120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12417093 and 12417102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872 + ... + 5751.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 2^12417120 is an apocalyptic number.

12417120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12417120 is an abundant number, since it is smaller than the sum of its proper divisors (29961216).

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

12417120 is a wasteful number, since it uses less digits than its factorization.

12417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12417120 is about 3523.7934105166. The cubic root of 12417120 is about 231.5653773403.

Adding to 12417120 its reverse (2171421), we get a palindrome (14588541).

The spelling of 12417120 in words is "twelve million, four hundred seventeen thousand, one hundred twenty".