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12000221022200 = 2352239464954001
BaseRepresentation
bin1010111010100000010011…
…1010010100011111111000
31120111012200000222012020212
42232220010322110133320
53033102423040202300
641304454143210252
72345662443454055
oct256500472243770
946435600865225
1012000221022200
1139072a0a16084
1214198818a6988
13690801427658
142d6b570b402c
1515c24752d935
hexaea04e947f8

12000221022200 has 96 divisors (see below), whose sum is σ = 28023797880000. Its totient is φ = 4778887680000.

The previous prime is 12000221022149. The next prime is 12000221022281. The reversal of 12000221022200 is 222012200021.

12000221022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 222195200 + ... + 222249200.

It is an arithmetic number, because the mean of its divisors is an integer number (291914561250).

Almost surely, 212000221022200 is an apocalyptic number.

12000221022200 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 12000221022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011898940000).

12000221022200 is an abundant number, since it is smaller than the sum of its proper divisors (16023576857800).

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

12000221022200 is a wasteful number, since it uses less digits than its factorization.

12000221022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58905 (or 58896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12000221022200 its reverse (222012200021), we get a palindrome (12222233222221).

It can be divided in two parts, 1200022 and 1022200, that added together give a palindrome (2222222).

The spelling of 12000221022200 in words is "twelve trillion, two hundred twenty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 956 1195 1912 2390 4649 4780 5975 9298 9560 11950 18596 23245 23900 37192 46490 47800 54001 92980 108002 116225 185960 216004 232450 270005 432008 464900 540010 929800 1080020 1111111 1350025 2160040 2222222 2700050 4444444 5400100 5555555 8888888 10800200 11111110 12906239 22222220 25812478 27777775 44444440 51624956 55555550 64531195 103249912 111111100 129062390 222222200 251050649 258124780 322655975 502101298 516249560 645311950 1004202596 1255253245 1290623900 2008405192 2510506490 2581247800 5021012980 6276266225 10042025960 12552532450 25105064900 50210129800 60001105111 120002210222 240004420444 300005525555 480008840888 600011051110 1200022102220 1500027627775 2400044204440 3000055255550 6000110511100 12000221022200