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20012102201200 = 2452611439569957
BaseRepresentation
bin1001000110011011011100…
…01111100010111101110000
32121212010201210220000200211
410203031232033202331300
510110334241130414300
6110321233254153504
74133553356026204
oct443155617427560
977763653800624
1020012102201200
1164160a2a83a0a
1222b2590652894
13b2219667cc35
144d283b680b04
1524a8625934ba
hex12336e3e2f70

20012102201200 has 120 divisors (see below), whose sum is σ = 48901302080640. Its totient is φ = 7868128588800.

The previous prime is 20012102201197. The next prime is 20012102201251. The reversal of 20012102201200 is 210220121002.

It is a happy number.

It is a super-2 number, since 2×200121022012002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34826622 + ... + 35396578.

It is an arithmetic number, because the mean of its divisors is an integer number (407510850672).

Almost surely, 220012102201200 is an apocalyptic number.

20012102201200 is a gapful number since it is divisible by the number (20) 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 20012102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24450651040320).

20012102201200 is an abundant number, since it is smaller than the sum of its proper divisors (28889199879440).

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

20012102201200 is a wasteful number, since it uses less digits than its factorization.

20012102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571475 (or 571464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20012102201200 its reverse (210220121002), we get a palindrome (20222322322202).

The spelling of 20012102201200 in words is "twenty trillion, twelve billion, one hundred two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1439 1525 2440 2878 3050 4880 5756 6100 7195 11512 12200 14390 23024 24400 28780 35975 57560 71950 87779 115120 143900 175558 287800 351116 438895 569957 575600 702232 877790 1139914 1404464 1755580 2194475 2279828 2849785 3511160 4388950 4559656 5699570 7022320 8777900 9119312 11399140 14248925 17555800 22798280 28497850 34767377 35111600 45596560 56995700 69534754 113991400 139069508 173836885 227982800 278139016 347673770 556278032 695347540 820168123 869184425 1390695080 1640336246 1738368850 2781390160 3280672492 3476737700 4100840615 6561344984 6953475400 8201681230 13122689968 13906950800 16403362460 20504203075 32806724920 41008406150 50030255503 65613449840 82016812300 100060511006 164033624600 200121022012 250151277515 328067249200 400242044024 500302555030 800484088048 1000605110060 1250756387575 2001210220120 2501512775150 4002420440240 5003025550300 10006051100600 20012102201200