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12012001012212 = 22317896611000907
BaseRepresentation
bin1010111011001100001100…
…0011011010100111110100
31120112100002000002200122020
42232303003003122213310
53033301034224342322
641314123113233140
72346560403643215
oct256630303324764
946470060080566
1012012001012212
113911296467a13
12142000aa027b0
1369195ab1a046
142d75537c140c
1515c6d67e105c
hexaecc30da9f4

12012001012212 has 96 divisors (see below), whose sum is σ = 30055585714560. Its totient is φ = 3720487710720.

The previous prime is 12012001012201. The next prime is 12012001012303. The reversal of 12012001012212 is 21221010021021.

It is a super-2 number, since 2×120120010122122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012001012191 and 12012001012200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11500663 + ... + 12501569.

It is an arithmetic number, because the mean of its divisors is an integer number (313079017860).

Almost surely, 212012001012212 is an apocalyptic number.

12012001012212 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 12012001012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027792857280).

12012001012212 is an abundant number, since it is smaller than the sum of its proper divisors (18043584702348).

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

12012001012212 is a wasteful number, since it uses less digits than its factorization.

12012001012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001681 (or 1001679 counting only the distinct ones).

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

Adding to 12012001012212 its reverse (21221010021021), we get a palindrome (33233011033233).

The spelling of 12012001012212 in words is "twelve trillion, twelve billion, one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 661 1068 1322 1513 1983 2644 3026 3966 4539 6052 7932 9078 11237 18156 22474 33711 44948 58829 67422 117658 134844 176487 235316 352974 705948 1000093 1000907 2000186 2001814 3000279 3002721 4000372 4003628 6000558 6005442 12001116 12010884 17015419 34030838 51046257 68061676 89080723 102092514 178161446 204185028 267242169 356322892 534484338 661599527 1068968676 1323199054 1514372291 1984798581 2646398108 3028744582 3969597162 4543116873 6057489164 7939194324 9086233746 11247191959 18172467492 22494383918 33741575877 44988767836 58882357903 67483151754 117764715806 134966303508 176647073709 235529431612 353294147418 706588294836 1001000084351 2002000168702 3003000253053 4004000337404 6006000506106 12012001012212