Search a number
-
+
12221012211012 = 223211175417335123
BaseRepresentation
bin1011000111010110110100…
…0101110111010101000100
31121021022120100112201000100
42301311231011313111010
53100212113111223022
641554131104444100
72400640034552643
oct261655505672504
947238510481010
1012221012211012
1139919a1879150
121454620319630
136a858a00a8c7
1430370059135a
15162d6ae051ac
hexb1d6d177544

12221012211012 has 144 divisors (see below), whose sum is σ = 35689435209792. Its totient is φ = 3484839843840.

The previous prime is 12221012210999. The next prime is 12221012211041. The reversal of 12221012211012 is 21011221012221.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 36299683 + ... + 36634805.

It is an arithmetic number, because the mean of its divisors is an integer number (247843300068).

Almost surely, 212221012211012 is an apocalyptic number.

12221012211012 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 12221012211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844717604896).

12221012211012 is an abundant number, since it is smaller than the sum of its proper divisors (23468422998780).

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

12221012211012 is a wasteful number, since it uses less digits than its factorization.

12221012211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340578 (or 340573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221012211012 its reverse (21011221012221), we get a palindrome (33232233223233).

The spelling of 12221012211012 in words is "twelve trillion, two hundred twenty-one billion, twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 5417 6732 10834 16251 21668 32502 48753 59587 65004 92089 97506 119174 178761 184178 195012 238348 276267 335123 357522 368356 536283 552534 670246 715044 828801 1005369 1012979 1072566 1105068 1340492 1657602 2010738 2025958 2145132 3016107 3038937 3315204 3686353 4021476 4051916 5697091 6032214 6077874 7372706 9116811 11059059 11394182 12064428 12155748 14745412 17091273 18233622 22118118 22788364 33177177 34182546 36467244 44236236 51273819 62668001 66354354 68365092 102547638 125336002 132708708 188004003 205095276 250672004 376008006 564012009 752016012 1128024018 1815361291 2256048036 3630722582 5446083873 7261445164 10892167746 16338251619 19968974201 21784335492 30861141947 32676503238 39937948402 59906922603 61722283894 65353006476 79875896804 92583425841 119813845206 123444567788 179720767809 185166851682 239627690412 277750277523 339472561417 359441535618 370333703364 555500555046 678945122834 718883071236 1018417684251 1111001110092 1357890245668 2036835368502 3055253052753 4073670737004 6110506105506 12221012211012