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12201200222022 = 23271940112709663
BaseRepresentation
bin1011000110001101000000…
…1101000111111101000110
31121012102102121210101101100
42301203100031013331012
53044401024224101042
641541053133040530
72366336054461050
oct261432015077506
947172377711340
1012201200222022
113984555493629
121450811326146
136a67505802b6
1430278124a8d0
151625ab92624c
hexb18d0347f46

12201200222022 has 96 divisors (see below), whose sum is σ = 31881937950720. Its totient is φ = 3294344390400.

The previous prime is 12201200221999. The next prime is 12201200222087. The reversal of 12201200222022 is 22022200210221.

12201200222022 is a `hidden beast` number, since 1 + 220 + 1 + 200 + 2 + 220 + 22 = 666.

It is a super-3 number, since 3×122012002220223 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201200221986 and 12201200222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5394838 + ... + 7314825.

It is an arithmetic number, because the mean of its divisors is an integer number (332103520320).

Almost surely, 212201200222022 is an apocalyptic number.

12201200222022 is an abundant number, since it is smaller than the sum of its proper divisors (19680737728698).

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

12201200222022 is a wasteful number, since it uses less digits than its factorization.

12201200222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710098 (or 12710095 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12201200222022 its reverse (22022200210221), we get a palindrome (34223400432243).

The spelling of 12201200222022 in words is "twelve trillion, two hundred one billion, two hundred million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 401 798 802 1197 1203 2394 2406 2807 3609 5614 7218 7619 8421 15238 16842 22857 25263 45714 50526 53333 68571 106666 137142 159999 319998 479997 959994 12709663 25419326 38128989 76257978 88967641 114386967 177935282 228773934 241483597 266902923 482967194 533805846 724450791 800708769 1448901582 1601417538 1690385179 2173352373 3380770358 4346704746 5071155537 5096574863 10142311074 10193149726 15213466611 15289724589 30426933222 30579449178 35676024041 45869173767 71352048082 91738347534 96834922397 107028072123 193669844794 214056144246 290504767191 321084216369 581009534382 642168432738 677844456779 871514301573 1355688913558 1743028603146 2033533370337 4067066740674 6100600111011 12201200222022