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12101110011210 = 23511372773577913
BaseRepresentation
bin1011000000011000001001…
…0111010001010101001010
31120211212002011101212011110
42300012002113101111022
53041231033130324320
641423101224311150
72356163533641213
oct260060227212512
946755064355143
1012101110011210
113946063142840
1214353393124b6
1369a18c17699c
142db9a822640a
1515eb9e81c5e0
hexb01825d154a

12101110011210 has 128 divisors (see below), whose sum is σ = 32656680140544. Its totient is φ = 2844010690560.

The previous prime is 12101110011191. The next prime is 12101110011241. The reversal of 12101110011210 is 1211001110121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593214 + ... + 5171126.

It is an arithmetic number, because the mean of its divisors is an integer number (255130313598).

Almost surely, 212101110011210 is an apocalyptic number.

12101110011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101110011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328340070272).

12101110011210 is an abundant number, since it is smaller than the sum of its proper divisors (20555570129334).

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

12101110011210 is a wasteful number, since it uses less digits than its factorization.

12101110011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578248.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12101110011210 its reverse (1211001110121), we get a palindrome (13312111121331).

The spelling of 12101110011210 in words is "twelve trillion, one hundred one billion, one hundred ten million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 277 330 370 407 554 555 814 831 1110 1221 1385 1662 2035 2442 2770 3047 4070 4155 6094 6105 8310 9141 10249 12210 15235 18282 20498 30470 30747 45705 51245 61494 91410 102490 112739 153735 225478 307470 338217 563695 676434 1127390 1691085 3382170 3577913 7155826 10733739 17889565 21467478 35779130 39357043 53668695 78714086 107337390 118071129 132382781 196785215 236142258 264765562 393570430 397148343 590355645 661913905 794296686 991081901 1180711290 1323827810 1456210591 1982163802 1985741715 2912421182 2973245703 3971483430 4368631773 4955409505 5946491406 7281052955 8737263546 9910819010 10901900911 14562105910 14866228515 21803801822 21843158865 29732457030 32705702733 36670030337 43686317730 54509504555 65411405466 73340060674 109019009110 110010091011 163528513665 183350151685 220020182022 327057027330 366700303370 403370333707 550050455055 806740667414 1100100910110 1210111001121 2016851668535 2420222002242 4033703337070 6050555005605 12101110011210