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12011220312 = 23371337148639
BaseRepresentation
bin10110010111110110…
…01010110101011000
31011000002020012201120
423023323022311120
5144044333022222
65303510045240
7603435455010
oct131373126530
934002205646
1012011220312
115104025663
1223b2649820
131195592970
1481d2dcc40
154a473a15c
hex2cbecad58

12011220312 has 128 divisors (see below), whose sum is σ = 37956710400. Its totient is φ = 3082157568.

The previous prime is 12011220301. The next prime is 12011220359. The reversal of 12011220312 is 21302211021.

It is a junction number, because it is equal to n+sod(n) for n = 12011220291 and 12011220300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6489 + ... + 155127.

It is an arithmetic number, because the mean of its divisors is an integer number (296536800).

Almost surely, 212011220312 is an apocalyptic number.

12011220312 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 12011220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978355200).

12011220312 is an abundant number, since it is smaller than the sum of its proper divisors (25945490088).

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

12011220312 is a wasteful number, since it uses less digits than its factorization.

12011220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148705 (or 148701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12011220312 its reverse (21302211021), we get a palindrome (33313431333).

The spelling of 12011220312 in words is "twelve billion, eleven million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 20202 26936 40404 80808 148639 297278 445917 594556 891834 1040473 1189112 1783668 1932307 2080946 3121419 3567336 3864614 4161892 5499643 5796921 6242838 7729228 8323784 10999286 11593842 12485676 13526149 15458456 16498929 21998572 23187684 24971352 27052298 32997858 38497501 40578447 43997144 46375368 54104596 65995716 71495359 76995002 81156894 108209192 115492503 131991432 142990718 153990004 162313788 214486077 230985006 285981436 307980008 324627576 428972154 461970012 500467513 571962872 857944308 923940024 1000935026 1501402539 1715888616 2001870052 3002805078 4003740104 6005610156 12011220312