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12010112221000 = 2353179349192251
BaseRepresentation
bin1010111011000101001001…
…1110001111111101001000
31120112011012101000011012011
42232301102132033331020
53033233202212033000
641313211442025304
72346462530326255
oct256612236177510
946464171004164
1012010112221000
113910507278143
12141b782348234
1369171970c2ca
142d74149d442c
1515c625a992ba
hexaec5278ff48

12010112221000 has 128 divisors (see below), whose sum is σ = 28341789840000. Its totient is φ = 4763493600000.

The previous prime is 12010112220971. The next prime is 12010112221031. The reversal of 12010112221000 is 12221101021.

It is a super-2 number, since 2×120101122210002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62374875 + ... + 62567125.

It is an arithmetic number, because the mean of its divisors is an integer number (221420233125).

Almost surely, 212010112221000 is an apocalyptic number.

12010112221000 is a gapful number since it is divisible by the number (10) 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 12010112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170894920000).

12010112221000 is an abundant number, since it is smaller than the sum of its proper divisors (16331677619000).

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

12010112221000 is a wasteful number, since it uses less digits than its factorization.

12010112221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192800 (or 192786 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12010112221000 its reverse (12221101021), we get a palindrome (12022333322021).

The spelling of 12010112221000 in words is "twelve trillion, ten billion, one hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 349 358 500 698 716 895 1000 1396 1432 1745 1790 2792 3490 3580 4475 6980 7160 8725 8950 13960 17450 17900 22375 34900 35800 43625 44750 62471 69800 87250 89500 124942 174500 179000 192251 249884 312355 349000 384502 499768 624710 769004 961255 1249420 1538008 1561775 1922510 2498840 3123550 3845020 4806275 6247100 7690040 7808875 9612550 12494200 15617750 19225100 24031375 31235500 34412929 38450200 48062750 62471000 67095599 68825858 96125500 134191198 137651716 172064645 192251000 268382396 275303432 335477995 344129290 536764792 670955990 688258580 860323225 1341911980 1376517160 1677389975 1720646450 2683823960 3354779950 3441292900 4301616125 6709559900 6882585800 8386949875 8603232250 12010112221 13419119800 16773899750 17206464500 24020224442 33547799500 34412929000 48040448884 60050561105 67095599000 96080897768 120101122210 240202244420 300252805525 480404488840 600505611050 1201011222100 1501264027625 2402022444200 3002528055250 6005056110500 12010112221000