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1211211012 = 22311194111779
BaseRepresentation
bin100100000110001…
…1001110100000100
310010102002220011010
41020030121310010
54440032223022
6320104242220
742005060304
oct11014316404
93112086133
101211211012
11571773840
12299770370
13163c1b30b
14b6c0b604
157150250c
hex48319d04

1211211012 has 96 divisors (see below), whose sum is σ = 3324787200. Its totient is φ = 339206400.

The previous prime is 1211211011. The next prime is 1211211041. The reversal of 1211211012 is 2101121121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1211211011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96939 + ... + 108717.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 21211211012 is an apocalyptic number.

1211211012 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 1211211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662393600).

1211211012 is an abundant number, since it is smaller than the sum of its proper divisors (2113576188).

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

1211211012 is a wasteful number, since it uses less digits than its factorization.

1211211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1211211012 is about 34802.4569822304. The cubic root of 1211211012 is about 1065.9576160567.

Adding to 1211211012 its reverse (2101121121), we get a palindrome (3312332133).

The spelling of 1211211012 in words is "one billion, two hundred eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 41 44 57 66 76 82 114 123 132 164 209 228 246 418 451 492 627 779 836 902 1254 1353 1558 1804 2337 2508 2706 3116 4674 5412 8569 9348 11779 17138 23558 25707 34276 35337 47116 51414 70674 102828 129569 141348 223801 259138 388707 447602 482939 518276 671403 777414 895204 965878 1342806 1448817 1554828 1931756 2461811 2685612 2897634 4923622 5312329 5795268 7385433 9175841 9847244 10624658 14770866 15936987 18351682 21249316 27527523 29541732 31873974 36703364 55055046 63747948 100934251 110110092 201868502 302802753 403737004 605605506 1211211012