12616128 has 168 divisors, whose sum is σ = 43434000. Its totient is φ = 3580416.

The previous prime is 12616127. The next prime is 12616129. The reversal of 12616128 is 82161621.

It is an interprime number because it is at equal distance from previous prime (12616127) and next prime (12616129).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12616127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84598 + ... + 84746.

Almost surely, 2^12616128 is an apocalyptic number.

12616128 is a gapful number since it is divisible by the number (18) 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 12616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717000).

12616128 is an abundant number, since it is smaller than the sum of its proper divisors (30817872).

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

12616128 is a wasteful number, since it uses less digits than its factorization.

12616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12616128 is about 3551.9189179935. The cubic root of 12616128 is about 232.7959187296.

Adding to 12616128 its reverse (82161621), we get a palindrome (94777749).

The spelling of 12616128 in words is "twelve million, six hundred sixteen thousand, one hundred twenty-eight".