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12031201222012 = 22719731072895281
BaseRepresentation
bin1010111100010011101101…
…1110011001110101111100
31120121011122002200101222201
42233010323132121311330
53034104400003101022
641331020232321244
72351140245016240
oct257047336316574
946534562611881
1012031201222012
1139194494897a5
121423888b43224
136936ca8b642b
142d8455794420
1515ce5c227127
hexaf13b799d7c

12031201222012 has 96 divisors (see below), whose sum is σ = 25915784993280. Its totient is φ = 4772903823360.

The previous prime is 12031201222003. The next prime is 12031201222021. The reversal of 12031201222012 is 21022210213021.

It is an interprime number because it is at equal distance from previous prime (12031201222003) and next prime (12031201222021).

It is a super-2 number, since 2×120312012220122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2707812 + ... + 5603092.

It is an arithmetic number, because the mean of its divisors is an integer number (269956093680).

Almost surely, 212031201222012 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 12031201222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957892496640).

12031201222012 is an abundant number, since it is smaller than the sum of its proper divisors (13884583771268).

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

12031201222012 is a wasteful number, since it uses less digits than its factorization.

12031201222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895491 (or 2895489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12031201222012 its reverse (21022210213021), we get a palindrome (33053411435033).

The spelling of 12031201222012 in words is "twelve trillion, thirty-one billion, two hundred one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 73 76 107 133 146 214 266 292 428 511 532 749 1022 1387 1498 2033 2044 2774 2996 4066 5548 7811 8132 9709 14231 15622 19418 28462 31244 38836 54677 56924 109354 148409 218708 296818 593636 1038863 2077726 2895281 4155452 5790562 11581124 20266967 40533934 55010339 81067868 110020678 211355513 220041356 309795067 385072373 422711026 619590134 770144746 845422052 1239180268 1479488591 1540289492 2168565469 2958977182 4015754747 4337130938 5886106273 5917954364 8031509494 8674261876 11772212546 16063018988 22615039891 23544425092 28110283229 41202743911 45230079782 56220566458 82405487822 90460159564 112441132916 158305279237 164810975644 316610558474 429685757929 633221116948 859371515858 1718743031716 3007800305503 6015600611006 12031201222012