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10001220120200 = 2352236135642267
BaseRepresentation
bin1001000110001001011100…
…1011000010111010001000
31022102002220020002210002102
42101202113023002322020
52302324444322321300
633134255212252532
72051364362242121
oct221422713027210
938362806083072
1010001220120200
113206548032421
121156378471148
13577159b75a3a
142680c11b9048
1512524c1050d5
hex918972c2e88

10001220120200 has 96 divisors (see below), whose sum is σ = 24661598074560. Its totient is φ = 3763823289600.

The previous prime is 10001220120191. The next prime is 10001220120259. The reversal of 10001220120200 is 202102210001.

It is a happy number.

It is a super-3 number, since 3×100012201202003 (a number of 40 digits) contains 333 as substring.

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, 17540534 + ... + 18101733.

It is an arithmetic number, because the mean of its divisors is an integer number (256891646610).

Almost surely, 210001220120200 is an apocalyptic number.

10001220120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001220120200 is an abundant number, since it is smaller than the sum of its proper divisors (14660377954360).

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

10001220120200 is a wasteful number, since it uses less digits than its factorization.

10001220120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35642367 (or 35642358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10001220120200 its reverse (202102210001), we get a palindrome (10203322330201).

The spelling of 10001220120200 in words is "ten trillion, one billion, two hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 61 92 100 115 122 184 200 230 244 305 460 488 575 610 920 1150 1220 1403 1525 2300 2440 2806 3050 4600 5612 6100 7015 11224 12200 14030 28060 35075 56120 70150 140300 280600 35642267 71284534 142569068 178211335 285138136 356422670 712845340 819772141 891056675 1425690680 1639544282 1782113350 2174178287 3279088564 3564226700 4098860705 4348356574 6558177128 7128453400 8197721410 8696713148 10870891435 16395442820 17393426296 20494303525 21741782870 32790885640 40988607050 43483565740 50006100601 54354457175 81977214100 86967131480 100012201202 108708914350 163954428200 200024402404 217417828700 250030503005 400048804808 434835657400 500061006010 1000122012020 1250152515025 2000244024040 2500305030050 5000610060100 10001220120200