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12430212 = 22323291553
BaseRepresentation
bin101111011010…
…101110000100
3212101112001020
4233122232010
511140231322
61122231140
7210440454
oct57325604
925345036
1012430212
117020003
1241b54b0
132762a72
141917d64
15115805c
hexbdab84

12430212 has 48 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 3824128.

The previous prime is 12430211. The next prime is 12430219. The reversal of 12430212 is 21203421.

It is a junction number, because it is equal to n+sod(n) for n = 12430191 and 12430200.

It is not an unprimeable number, because it can be changed into a prime (12430211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7228 + ... + 8780.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 212430212 is an apocalyptic number.

12430212 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 12430212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

12430212 is an abundant number, since it is smaller than the sum of its proper divisors (18898428).

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

12430212 is a wasteful number, since it uses less digits than its factorization.

12430212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12430212 is about 3525.6505782621. The cubic root of 12430212 is about 231.6467324658.

Adding to 12430212 its reverse (21203421), we get a palindrome (33633633).

The spelling of 12430212 in words is "twelve million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 1553 2001 2668 3106 4002 4659 6212 8004 9318 18636 35719 45037 71438 90074 107157 135111 142876 180148 214314 270222 428628 540444 1035851 2071702 3107553 4143404 6215106 12430212