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12219912 = 2332433947
BaseRepresentation
bin101110100111…
…011000001000
3211222211120100
4232213120020
511112014122
61113525400
7205603365
oct56473010
924884510
1012219912
116997001
124113860
1326bb123
1418a146c
151115aac
hexba7608

12219912 has 48 divisors (see below), whose sum is σ = 33873840. Its totient is φ = 3977568.

The previous prime is 12219901. The next prime is 12219913. The reversal of 12219912 is 21991221.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12219913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (705705).

Almost surely, 212219912 is an apocalyptic number.

12219912 is a gapful number since it is divisible by the number (12) 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 12219912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936920).

12219912 is an abundant number, since it is smaller than the sum of its proper divisors (21653928).

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

12219912 is a wasteful number, since it uses less digits than its factorization.

12219912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3995 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 12219912 is about 3495.6990717166. The cubic root of 12219912 is about 230.3329268010.

It can be divided in two parts, 12219 and 912, that added together give a palindrome (13131).

The spelling of 12219912 in words is "twelve million, two hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 3947 7894 11841 15788 23682 31576 35523 47364 71046 94728 142092 169721 284184 339442 509163 678884 1018326 1357768 1527489 2036652 3054978 4073304 6109956 12219912