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12201001022200 = 2352613623276037
BaseRepresentation
bin1011000110001100010001…
…0101001111001011111000
31121012101220201221222121011
42301203010111033023320
53044400122230202300
641541021255323304
72366331115345414
oct261430425171370
947171821858534
1012201001022200
113984462aa7881
121450776680534
136a671b216293
143027629d5d44
151625991c8eba
hexb18c454f2f8

12201001022200 has 96 divisors (see below), whose sum is σ = 28840428156960. Its totient is φ = 4799051481600.

The previous prime is 12201001022159. The next prime is 12201001022227. The reversal of 12201001022200 is 222010010221.

It is a happy number.

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, 44062582 + ... + 44338618.

It is an arithmetic number, because the mean of its divisors is an integer number (300421126635).

Almost surely, 212201001022200 is an apocalyptic number.

12201001022200 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 12201001022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420214078480).

12201001022200 is an abundant number, since it is smaller than the sum of its proper divisors (16639427134760).

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

12201001022200 is a wasteful number, since it uses less digits than its factorization.

12201001022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279737 (or 279728 counting only the distinct ones).

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

Adding to 12201001022200 its reverse (222010010221), we get a palindrome (12423011032421).

The spelling of 12201001022200 in words is "twelve trillion, two hundred one billion, one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 3623 6100 7246 12200 14492 18115 28984 36230 72460 90575 144920 181150 221003 276037 362300 442006 552074 724600 884012 1104148 1105015 1380185 1768024 2208296 2210030 2760370 4420060 5520740 5525075 6900925 8840120 11041480 11050150 13801850 16838257 22100300 27603700 33676514 44200600 55207400 67353028 84191285 134706056 168382570 336765140 420956425 673530280 841912850 1000082051 1683825700 2000164102 3367651400 4000328204 5000410255 8000656408 10000820510 20001641020 25002051275 40003282040 50004102550 61005005111 100008205100 122010010222 200016410200 244020020444 305025025555 488040040888 610050051110 1220100102220 1525125127775 2440200204440 3050250255550 6100500511100 12201001022200