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1221101220200 = 235223401661987
BaseRepresentation
bin10001110001001111010…
…011011111000101101000
311022201212122101011100112
4101301033103133011220
5130001303403021300
62332544404553452
7154136012054321
oct21611723370550
94281778334315
101221101220200
11430958894154
121787a83b2888
138b1c317c814
144315cb89448
1521b6c47de35
hex11c4f4df168

1221101220200 has 96 divisors (see below), whose sum is σ = 2969890004160. Its totient is φ = 466038144000.

The previous prime is 1221101220179. The next prime is 1221101220221. The reversal of 1221101220200 is 20221011221.

It is an interprime number because it is at equal distance from previous prime (1221101220179) and next prime (1221101220221).

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, 1513607 + ... + 2175593.

It is an arithmetic number, because the mean of its divisors is an integer number (30936354210).

Almost surely, 21221101220200 is an apocalyptic number.

1221101220200 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 1221101220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484945002080).

1221101220200 is an abundant number, since it is smaller than the sum of its proper divisors (1748788783960).

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

1221101220200 is a wasteful number, since it uses less digits than its factorization.

1221101220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662427 (or 662418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221101220200 its reverse (20221011221), we get a palindrome (1241322231421).

The spelling of 1221101220200 in words is "one trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 401 460 575 802 920 1150 1604 2005 2300 3208 4010 4600 8020 9223 10025 16040 18446 20050 36892 40100 46115 73784 80200 92230 184460 230575 368920 461150 661987 922300 1323974 1844600 2647948 3309935 5295896 6619870 13239740 15225701 16549675 26479480 30451402 33099350 60902804 66198700 76128505 121805608 132397400 152257010 265456787 304514020 380642525 530913574 609028040 761285050 1061827148 1327283935 1522570100 2123654296 2654567870 3045140200 5309135740 6105506101 6636419675 10618271480 12211012202 13272839350 24422024404 26545678700 30527530505 48844048808 53091357400 61055061010 122110122020 152637652525 244220244040 305275305050 610550610100 1221101220200