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12120000212012 = 22711235740734099
BaseRepresentation
bin1011000001011110100001…
…0011101010110000101100
31120220122211122122111010012
42300113220103222300230
53042033230023241022
641435503511032352
72360432622000020
oct260275023526054
946818748574105
1012120000212012
113953077174240
121438b2b66b6b8
1369bbac94c5b4
142dc87ad7c380
15160407e18de2
hexb05e84eac2c

12120000212012 has 96 divisors (see below), whose sum is σ = 26467806758400. Its totient is φ = 4717764472320.

The previous prime is 12120000212003. The next prime is 12120000212083. The reversal of 12120000212012 is 21021200002121.

It is a super-3 number, since 3×121200002120123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2956816739 + ... + 2956820837.

It is an arithmetic number, because the mean of its divisors is an integer number (275706320400).

Almost surely, 212120000212012 is an apocalyptic number.

It is an amenable number.

12120000212012 is an abundant number, since it is smaller than the sum of its proper divisors (14347806546388).

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

12120000212012 is a wasteful number, since it uses less digits than its factorization.

12120000212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120000212012 its reverse (21021200002121), we get a palindrome (33141200214133).

The spelling of 12120000212012 in words is "twelve trillion, one hundred twenty billion, two hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 2357 4073 4099 4714 8146 8198 9428 16292 16396 16499 25927 28511 28693 32998 44803 45089 51854 57022 57386 65996 89606 90178 103708 114044 114772 179212 180356 181489 313621 315623 362978 627242 631246 725956 1254484 1262492 9600061 9661343 16695227 19200122 19322686 33390454 38400244 38645372 66780908 67200427 67629401 105600671 106274773 116866589 134400854 135258802 183647497 211201342 212549546 233733178 268801708 270517604 367294994 422402684 425099092 467466356 734589988 739204697 743923411 1285532479 1478409394 1487846822 2571064958 2956818788 2975693644 5142129916 39350650039 78701300078 157402600156 275454550273 432857150429 550909100546 865714300858 1101818201092 1731428601716 3030000053003 6060000106006 12120000212012