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12412412012 = 22711133738311
BaseRepresentation
bin10111000111101011…
…00110000001101100
31012001001010212021102
423203311212001230
5200410034141022
65411401022232
7616406522060
oct134365460154
935031125242
1012412412012
11529a534950
1224a4a84978
13122a7307c0
1485a6d3aa0
154c9a86a92
hex2e3d6606c

12412412012 has 96 divisors (see below), whose sum is σ = 29246536704. Its totient is φ = 4451500800.

The previous prime is 12412411969. The next prime is 12412412041. The reversal of 12412412012 is 21021421421.

12412412012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489337 + ... + 1497647.

It is an arithmetic number, because the mean of its divisors is an integer number (304651424).

Almost surely, 212412412012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623268352).

12412412012 is an abundant number, since it is smaller than the sum of its proper divisors (16834124692).

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

12412412012 is a wasteful number, since it uses less digits than its factorization.

12412412012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12412412012 its reverse (21021421421), we get a palindrome (33433833433).

It can be divided in two parts, 12412 and 412012, that added together give a palindrome (424424).

The spelling of 12412412012 in words is "twelve billion, four hundred twelve million, four hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 373 572 746 1001 1492 2002 2611 4004 4103 4849 5222 8206 8311 9698 10444 16412 16622 19396 28721 33244 33943 53339 57442 58177 67886 91421 106678 108043 114884 116354 135772 182842 213356 216086 232708 365684 373373 432172 639947 746746 756301 1188473 1279894 1493492 1512602 2376946 2559788 3025204 3100003 4753892 6200006 8319311 12400012 16638622 21700021 33277244 34100033 40300039 43400042 68200066 80600078 86800084 136400132 161200156 238700231 282100273 443300429 477400462 564200546 886600858 954800924 1128401092 1773201716 3103103003 6206206006 12412412012