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12001000201020 = 22325409478934039
BaseRepresentation
bin1010111010100011001101…
…0110101001101100111100
31120111021200100010120122200
42232220303112221230330
53033111022022413040
641305103335511500
72346020654411325
oct256506326515474
946437610116580
1012001000201020
113907660825716
121419a5a828590
136908c699a3cc
142d6bcc77d44c
1515c290b41630
hexaea335a9b3c

12001000201020 has 144 divisors (see below), whose sum is σ = 36500731176000. Its totient is φ = 3191681719296.

The previous prime is 12001000201019. The next prime is 12001000201027. The reversal of 12001000201020 is 2010200010021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001000200993 and 12001000201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001000201027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352549161 + ... + 352583199.

Almost surely, 212001000201020 is an apocalyptic number.

12001000201020 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 12001000201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250365588000).

12001000201020 is an abundant number, since it is smaller than the sum of its proper divisors (24499730974980).

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

12001000201020 is a wasteful number, since it uses less digits than its factorization.

12001000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39252 (or 39247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001000201020 its reverse (2010200010021), we get a palindrome (14011200211041).

The spelling of 12001000201020 in words is "twelve trillion, one billion, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4789 4908 6135 7362 8180 9578 12270 14367 14724 18405 19156 23945 24540 28734 34039 36810 43101 47890 57468 68078 71835 73620 86202 95780 102117 136156 143670 170195 172404 204234 215505 287340 306351 340390 408468 431010 510585 612702 680780 862020 1021170 1225404 1531755 1958701 2042340 3063510 3917402 5876103 6127020 7834804 9793505 11752206 13921951 17628309 19587010 23504412 27843902 29380515 35256618 39174020 41765853 55687804 58761030 69609755 70513236 83531706 88141545 117522060 125297559 139219510 163012771 167063412 176283090 208829265 250595118 278439020 326025542 352566180 417658530 489038313 501190236 626487795 652051084 815063855 835317060 978076626 1252975590 1467114939 1630127710 1956153252 2445191565 2505951180 2934229878 3260255420 4890383130 5868459756 7335574695 9780766260 14671149390 29342298780 66672223339 133344446678 200016670017 266688893356 333361116695 400033340034 600050010051 666722233390 800066680068 1000083350085 1200100020102 1333444466780 2000166700170 2400200040204 3000250050255 4000333400340 6000500100510 12001000201020