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12912016 = 2413232699
BaseRepresentation
bin110001010000…
…010110010000
3220021222221211
4301100112100
511301141031
61140425504
7214515235
oct61202620
926258854
1012912016
117319a97
1243a8294
1328a1160
141a0178c
151200bb1
hexc50590

12912016 has 40 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 5698176.

The previous prime is 12912013. The next prime is 12912017. The reversal of 12912016 is 61021921.

It is not an unprimeable number, because it can be changed into a prime (12912013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3435 + ... + 6133.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 212912016 is an apocalyptic number.

12912016 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 12912016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

12912016 is an abundant number, since it is smaller than the sum of its proper divisors (15211184).

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

12912016 is a wasteful number, since it uses less digits than its factorization.

12912016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 12912016 is about 3593.3293753843. The cubic root of 12912016 is about 234.6018064262.

Adding to 12912016 its reverse (61021921), we get a palindrome (73933937).

The spelling of 12912016 in words is "twelve million, nine hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 2699 4784 5398 10796 21592 35087 43184 62077 70174 124154 140348 248308 280696 496616 561392 807001 993232 1614002 3228004 6456008 12912016