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12069216 = 253361229
BaseRepresentation
bin101110000010…
…100101100000
3211201011212000
4232002211200
511042203331
61110404000
7204405135
oct56024540
924634760
1012069216
1168a3865
124060600
132667663
14186258c
1510d60e6
hexb82960

12069216 has 96 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 3939840.

The previous prime is 12069209. The next prime is 12069229. The reversal of 12069216 is 61296021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12069216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52590 + ... + 52818.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 212069216 is an apocalyptic number.

12069216 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 12069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

12069216 is an abundant number, since it is smaller than the sum of its proper divisors (23865984).

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

12069216 is a wasteful number, since it uses less digits than its factorization.

12069216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12069216 is about 3474.0777193379. The cubic root of 12069216 is about 229.3821856748.

The spelling of 12069216 in words is "twelve million, sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 229 244 288 366 432 458 488 549 687 732 864 916 976 1098 1374 1464 1647 1832 1952 2061 2196 2748 2928 3294 3664 4122 4392 5496 5856 6183 6588 7328 8244 8784 10992 12366 13176 13969 16488 17568 21984 24732 26352 27938 32976 41907 49464 52704 55876 65952 83814 98928 111752 125721 167628 197856 223504 251442 335256 377163 447008 502884 670512 754326 1005768 1341024 1508652 2011536 3017304 4023072 6034608 12069216