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12112120202210 = 25731179269311579
BaseRepresentation
bin1011000001000001001010…
…0111110100001111100010
31120212220111111000111211022
42300100102213310033202
53041421110232432320
641432121535045442
72360033426010350
oct260202247641742
946786444014738
1012112120202210
11394a7a3101246
1214374b0670882
1369b22522bac2
142dc3305ca7d0
151600e6221325
hexb04129f43e2

12112120202210 has 128 divisors (see below), whose sum is σ = 25875641548800. Its totient is φ = 3994487804160.

The previous prime is 12112120202153. The next prime is 12112120202311. The reversal of 12112120202210 is 1220202121121.

It is a super-2 number, since 2×121121202022102 (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1046036201 + ... + 1046047779.

It is an arithmetic number, because the mean of its divisors is an integer number (202153449600).

Almost surely, 212112120202210 is an apocalyptic number.

12112120202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12112120202210 is an abundant number, since it is smaller than the sum of its proper divisors (13763521346590).

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

12112120202210 is a wasteful number, since it uses less digits than its factorization.

12112120202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12112120202210 its reverse (1220202121121), we get a palindrome (13332322323331).

The spelling of 12112120202210 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, two hundred two thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 179 217 310 358 434 895 1085 1253 1790 2170 2506 2693 5386 5549 6265 11098 11579 12530 13465 18851 23158 26930 27745 37702 38843 55490 57895 77686 81053 83483 94255 115790 162106 166966 188510 194215 358949 388430 405265 417415 482047 584381 717898 810530 834830 964094 1168762 1794745 2072641 2410235 2512643 2921905 3374329 3589490 4145282 4820470 5025286 5843810 6748658 10363205 12563215 14508487 14943457 16871645 20726410 25126430 29016974 29886914 31182247 33743290 62364494 64251871 72542435 74717285 104604199 128503742 145084870 149434570 155911235 209208398 218275729 311822470 321259355 436551458 449763097 523020995 642518710 899526194 966649657 1046041990 1091378645 1933299314 2182757290 2248815485 4497630970 4833248285 5581622213 6766547599 9666496570 11163244426 13533095198 27908111065 33832737995 39071355491 55816222130 67665475990 78142710982 173030288603 195356777455 346060577206 390713554910 865151443015 1211212020221 1730302886030 2422424040442 6056060101105 12112120202210