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12321216 = 263221391
BaseRepresentation
bin101111000000…
…000111000000
3212011222112100
4233000013000
511123234331
61120030400
7206504625
oct57000700
925158470
1012321216
116a56126
124162400
13272527b
1418ca34c
151135ae6
hexbc01c0

12321216 has 42 divisors (see below), whose sum is σ = 35318192. Its totient is φ = 4106880.

The previous prime is 12321193. The next prime is 12321223. The reversal of 12321216 is 61212321.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

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, 10120 + ... + 11271.

Almost surely, 212321216 is an apocalyptic number.

12321216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12321216 is an abundant number, since it is smaller than the sum of its proper divisors (22996976).

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

12321216 is a wasteful number, since it uses less digits than its factorization.

12321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21409 (or 21396 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12321216 is about 3510.1589707590. The cubic root of 12321216 is about 230.9676684946.

Adding to 12321216 its reverse (61212321), we get a palindrome (73533537).

The spelling of 12321216 in words is "twelve million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21391 42782 64173 85564 128346 171128 192519 256692 342256 385038 513384 684512 770076 1026768 1369024 1540152 2053536 3080304 4107072 6160608 12321216