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121222112020200 = 2334527482846421
BaseRepresentation
bin11011100100000000111000…
…111011010000011011101000
3120220012201110102011011020000
4123210000320323100123220
5111342100341134121300
61105452400334503000
734351002641023332
oct3344007073203350
9526181412134200
10121222112020200
1135697010a88364
12117197a8064a60
135284271b283a9
1421d1278178452
15e033ea6eac00
hex6e4038ed06e8

121222112020200 has 120 divisors (see below), whose sum is σ = 421022353933830. Its totient is φ = 32325896534400.

The previous prime is 121222112020159. The next prime is 121222112020249. The reversal of 121222112020200 is 2020211222121.

It is a happy number.

121222112020200 is a `hidden beast` number, since 1 + 212 + 2 + 211 + 20 + 20 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 78320057419044 + 42902054601156 = 8849862^2 + 6549966^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3741407011 + ... + 3741439410.

Almost surely, 2121222112020200 is an apocalyptic number.

121222112020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222112020200 is an abundant number, since it is smaller than the sum of its proper divisors (299800241913630).

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

121222112020200 is a wasteful number, since it uses less digits than its factorization.

121222112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482846449 (or 7482846431 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222112020200 its reverse (2020211222121), we get a palindrome (123242323242321).

The spelling of 121222112020200 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 7482846421 14965692842 22448539263 29931385684 37414232105 44897078526 59862771368 67345617789 74828464210 89794157052 112242696315 134691235578 149656928420 179588314104 187071160525 202036853367 224485392630 269382471156 299313856840 336728088945 374142321050 404073706734 448970785260 538764942312 561213481575 606110560101 673456177890 748284642100 808147413468 897941570520 1010184266835 1122426963150 1212221120202 1346912355780 1496569284200 1616294826936 1683640444725 2020368533670 2244853926300 2424442240404 2693824711560 3030552800505 3367280889450 4040737067340 4489707852600 4848884480808 5050921334175 6061105601010 6734561778900 8081474134680 10101842668350 12122211202020 13469123557800 15152764002525 20203685336700 24244422404040 30305528005050 40407370673400 60611056010100 121222112020200