12642016 has 36 divisors (see below), whose sum is σ = 26458488. Its totient is φ = 5944832.

The previous prime is 12642001. The next prime is 12642031. The reversal of 12642016 is 61024621.

It is an interprime number because it is at equal distance from previous prime (12642001) and next prime (12642031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8565 + ... + 9931.

It is an arithmetic number, because the mean of its divisors is an integer number (734958).

Almost surely, 2^12642016 is an apocalyptic number.

12642016 is a gapful number since it is divisible by the number (16) 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 12642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229244).

12642016 is an abundant number, since it is smaller than the sum of its proper divisors (13816472).

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

12642016 is a wasteful number, since it uses less digits than its factorization.

12642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12642016 is about 3555.5612777732. The cubic root of 12642016 is about 232.9550405372.

Adding to 12642016 its reverse (61024621), we get a palindrome (73666637).

The spelling of 12642016 in words is "twelve million, six hundred forty-two thousand, sixteen".