Search a number
-
+
120022102111212 = 2235787313202031
BaseRepresentation
bin11011010010100011010010…
…110000101111001111101100
3120201222000000122210121200000
4123102203102300233033230
5111212420231120024322
61103133220441504300
734165211402060160
oct3322432260571754
9521860018717600
10120022102111212
11352740a6743524
12115651071a2090
1351c80604813a2
14218d15a5d0ca0
15dd20b4c043ac
hex6d28d2c2f3ec

120022102111212 has 144 divisors (see below), whose sum is σ = 359578286226432. Its totient is φ = 34291466691840.

The previous prime is 120022102111159. The next prime is 120022102111229. The reversal of 120022102111212 is 212111201220021.

120022102111212 is a `hidden beast` number, since 1 + 20 + 0 + 221 + 0 + 211 + 1 + 212 = 666.

It is a super-2 number, since 2×1200221021112122 (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 593976637 + ... + 594178667.

It is an arithmetic number, because the mean of its divisors is an integer number (2497071432128).

Almost surely, 2120022102111212 is an apocalyptic number.

120022102111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022102111212 is an abundant number, since it is smaller than the sum of its proper divisors (239556184115220).

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

120022102111212 is a wasteful number, since it uses less digits than its factorization.

120022102111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289370 (or 289356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120022102111212 its reverse (212111201220021), we get a palindrome (332133303331233).

The spelling of 120022102111212 in words is "one hundred twenty trillion, twenty-two billion, one hundred two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 87313 174626 202031 261939 349252 404062 523878 606093 611191 785817 808124 1047756 1212186 1222382 1414217 1571634 1818279 1833573 2357451 2424372 2444764 2828434 3143268 3636558 3667146 4242651 4714902 5454837 5500719 5656868 7072353 7273116 7334292 8485302 9429804 10909674 11001438 12727953 14144706 16364511 16502157 16970604 21217059 21819348 22002876 25455906 28289412 32729022 33004314 38183859 42434118 49093533 49506471 50911812 65458044 66008628 76367718 84868236 98187066 99012942 114551577 148519413 152735436 196374132 198025884 229103154 297038826 343654731 458206308 594077652 687309462 1374618924 17639932703 35279865406 52919798109 70559730812 105839596218 123479528921 158759394327 211679192436 246959057842 317518788654 370438586763 476278182981 493918115684 635037577308 740877173526 952556365962 1111315760289 1428834548943 1481754347052 1905112731924 2222631520578 2857669097886 3333947280867 4286503646829 4445263041156 5715338195772 6667894561734 8573007293658 10001841842601 13335789123468 17146014587316 20003683685202 30005525527803 40007367370404 60011051055606 120022102111212