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12101211210210 = 23571439123110513
BaseRepresentation
bin1011000000011000100001…
…1001010100000111100010
31120211212100012211022002120
42300012020121110013202
53041231240032211320
641423115241325110
72356166203056063
oct260061031240742
946755305738076
1012101211210210
113946105283081
121435367196796
1369a1a711a155
142db9b784a56a
1515eba865c440
hexb01886541e2

12101211210210 has 128 divisors (see below), whose sum is σ = 29545840558080. Its totient is φ = 3171411532800.

The previous prime is 12101211210199. The next prime is 12101211210239. The reversal of 12101211210210 is 1201211210121.

It is a happy number.

It is a super-2 number, since 2×121012112102102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101211210210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151065914 + ... + 1151076426.

It is an arithmetic number, because the mean of its divisors is an integer number (230826879360).

Almost surely, 212101211210210 is an apocalyptic number.

12101211210210 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 12101211210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772920279040).

12101211210210 is an abundant number, since it is smaller than the sum of its proper divisors (17444629347870).

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

12101211210210 is a wasteful number, since it uses less digits than its factorization.

12101211210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12101211210210 its reverse (1201211210121), we get a palindrome (13302422420331).

The spelling of 12101211210210 in words is "twelve trillion, one hundred one billion, two hundred eleven million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 439 710 878 1065 1231 1317 2130 2195 2462 2634 3693 4390 6155 6585 7386 10513 12310 13170 18465 21026 31169 31539 36930 52565 62338 63078 87401 93507 105130 155845 157695 174802 187014 262203 311690 315390 437005 467535 524406 540409 746423 874010 935070 1080818 1311015 1492846 1621227 2239269 2622030 2702045 3242454 3732115 4478538 4615207 5404090 7464230 8106135 9230414 11196345 12941503 13845621 16212270 22392690 23076035 25883006 27691242 38369039 38824509 46152070 64707515 69228105 76738078 77649018 115107117 129415030 138456210 191845195 194122545 230214234 327679697 383690390 388245090 575535585 655359394 918846713 983039091 1151071170 1638398485 1837693426 1966078182 2756540139 3276796970 4594233565 4915195455 5513080278 5681319817 9188467130 9830390910 11362639634 13782700695 17043959451 27565401390 28406599085 34087918902 56813198170 85219797255 170439594510 403373707007 806747414014 1210121121021 2016868535035 2420242242042 4033737070070 6050605605105 12101211210210