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12212012020110 = 2357415413262027
BaseRepresentation
bin1011000110110101010010…
…1000110111000110001110
31121020110100010002122010120
42301231110220313012032
53100040200034120420
641550042035245410
72400201020315220
oct261552450670616
947213303078116
1012212012020110
1139890a3467551
12145292a149866
136a77844c1766
143030c912a410
151629e0bdbd40
hexb1b54a3718e

12212012020110 has 128 divisors (see below), whose sum is σ = 34319245169664. Its totient is φ = 2722722647040.

The previous prime is 12212012020051. The next prime is 12212012020207. The reversal of 12212012020110 is 1102021021221.

12212012020110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122120120201102 (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 12212012020110.

It is a congruent number.

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, 46474917 + ... + 46736943.

It is an arithmetic number, because the mean of its divisors is an integer number (268119102888).

Almost surely, 212212012020110 is an apocalyptic number.

12212012020110 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 12212012020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159622584832).

12212012020110 is an abundant number, since it is smaller than the sum of its proper divisors (22107233149554).

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

12212012020110 is a wasteful number, since it uses less digits than its factorization.

12212012020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267498.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212012020110 its reverse (1102021021221), we get a palindrome (13314033041331).

The spelling of 12212012020110 in words is "twelve trillion, two hundred twelve billion, twelve million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 5413 8610 10826 16239 27065 32478 37891 54130 75782 81195 113673 162390 189455 221933 227346 262027 378910 443866 524054 568365 665799 786081 1109665 1136730 1310135 1331598 1553531 1572162 1834189 2219330 2620270 3107062 3328995 3668378 3930405 4660593 5502567 6657990 7767655 7860810 9170945 9321186 10743107 11005134 15535310 18341890 21486214 23302965 27512835 32229321 46605930 53715535 55025670 64458642 75201749 107431070 150403498 161146605 225605247 322293210 376008745 451210494 752017490 1128026235 1418352151 2256052470 2836704302 4255056453 7091760755 8510112906 9928465057 14183521510 19856930114 21275282265 29785395171 42550564530 49642325285 58152438191 59570790342 99284650570 116304876382 148926975855 174457314573 290762190955 297853951710 348914629146 407067067337 581524381910 814134134674 872286572865 1221201202011 1744573145730 2035335336685 2442402404022 4070670673370 6106006010055 12212012020110