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12122031012 = 22372136723669
BaseRepresentation
bin10110100101000011…
…11000001110100100
31011021210201222102120
423102201320032210
5144311214443022
65322505105540
7606252364200
oct132241701644
934253658376
1012122031012
115160630353
1224237882b0
1311b2520020
1482dd05b00
154ae327d5c
hex2d28783a4

12122031012 has 144 divisors (see below), whose sum is σ = 35964008640. Its totient is φ = 3149169408.

The previous prime is 12122030993. The next prime is 12122031017. The reversal of 12122031012 is 21013022121.

It is a junction number, because it is equal to n+sod(n) for n = 12122030982 and 12122031000.

It is not an unprimeable number, because it can be changed into a prime (12122031017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500314 + ... + 523982.

It is an arithmetic number, because the mean of its divisors is an integer number (249750060).

Almost surely, 212122031012 is an apocalyptic number.

12122031012 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 12122031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982004320).

12122031012 is an abundant number, since it is smaller than the sum of its proper divisors (23841977628).

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

12122031012 is a wasteful number, since it uses less digits than its factorization.

12122031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23770 (or 23761 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12122031012 its reverse (21013022121), we get a palindrome (33135053133).

The spelling of 12122031012 in words is "twelve billion, one hundred twenty-two million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 67 78 84 91 98 134 147 156 182 196 201 268 273 294 364 402 469 546 588 637 804 871 938 1092 1274 1407 1742 1876 1911 2548 2613 2814 3283 3484 3822 5226 5628 6097 6566 7644 9849 10452 12194 13132 18291 19698 23669 24388 36582 39396 42679 47338 71007 73164 85358 94676 128037 142014 165683 170716 256074 284028 307697 331366 497049 512148 615394 662732 923091 994098 1159781 1230788 1585823 1846182 1988196 2153879 2319562 3171646 3479343 3692364 4307758 4639124 4757469 6343292 6461637 6958686 8615516 9514938 11100761 12923274 13917372 15077153 19029876 20615699 22201522 25846548 30154306 33302283 41231398 44403044 45231459 60308612 61847097 66604566 77705327 82462796 90462918 123694194 133209132 144309893 155410654 180925836 233115981 247388388 288619786 310821308 432929679 466231962 577239572 865859358 932463924 1010169251 1731718716 2020338502 3030507753 4040677004 6061015506 12122031012