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12002012121012 = 2231976917347313
BaseRepresentation
bin1010111010100110111110…
…1010110100011110110100
31120111101021212020102220220
42232221233222310132310
53033120110100333022
641305352004454340
72346055022526354
oct256515752643664
946441255212826
1012002012121012
11390802aa50131
12141a0a16aa3b0
13690a2851c034
142d6c86d10b64
1515c2ee8c985c
hexaea6fab47b4

12002012121012 has 48 divisors (see below), whose sum is σ = 28187588100672. Its totient is φ = 3974601899520.

The previous prime is 12002012120957. The next prime is 12002012121041. The reversal of 12002012121012 is 21012121020021.

It is a junction number, because it is equal to n+sod(n) for n = 12002012120982 and 12002012121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040133 + ... + 5307180.

It is an arithmetic number, because the mean of its divisors is an integer number (587241418764).

Almost surely, 212002012121012 is an apocalyptic number.

12002012121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002012121012 is an abundant number, since it is smaller than the sum of its proper divisors (16185575979660).

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

12002012121012 is a wasteful number, since it uses less digits than its factorization.

12002012121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348208 (or 7348206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002012121012 its reverse (21012121020021), we get a palindrome (33014133141033).

The spelling of 12002012121012 in words is "twelve trillion, two billion, twelve million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 197 394 591 691 788 1182 1382 2073 2364 2764 4146 8292 136127 272254 408381 544508 816762 1633524 7347313 14694626 22041939 29389252 44083878 88167756 1447420661 2894841322 4342261983 5076993283 5789682644 8684523966 10153986566 15230979849 17369047932 20307973132 30461959698 60923919396 1000167676751 2000335353502 3000503030253 4000670707004 6001006060506 12002012121012