12617124 has 48 divisors (see below), whose sum is σ = 32739840. Its totient is φ = 3755520.

The previous prime is 12617123. The next prime is 12617141. The reversal of 12617124 is 42171621.

It is a junction number, because it is equal to n+sod(n) for n = 12617094 and 12617103.

It is not an unprimeable number, because it can be changed into a prime (12617123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3532 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (682080).

Almost surely, 2^12617124 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 12617124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369920).

12617124 is an abundant number, since it is smaller than the sum of its proper divisors (20122716).

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

12617124 is a wasteful number, since it uses less digits than its factorization.

12617124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2658 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 12617124 is about 3552.0591211296. The cubic root of 12617124 is about 232.8020447146.

Adding to 12617124 its reverse (42171621), we get a palindrome (54788745).

It can be divided in two parts, 1261 and 7124, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 12617124 in words is "twelve million, six hundred seventeen thousand, one hundred twenty-four".