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120102021201220 = 22573137719383477
BaseRepresentation
bin11011010011101101101110…
…010011110111110101000100
3120202020122022100200001000121
4123103231232103313311010
5111220222414411414340
61103234035025151324
734204041022115452
oct3323555623676504
9522218270601017
10120102021201220
11352a4a87a07743
12115786aba8b544
1352027588c7866
142192d7c7079d2
15dd41e103e94a
hex6d3b6e4f7d44

120102021201220 has 96 divisors (see below), whose sum is σ = 257574322117728. Its totient is φ = 47029753331712.

The previous prime is 120102021201161. The next prime is 120102021201221. The reversal of 120102021201220 is 22102120201021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18453966372864 + 101648054828356 = 4295808^2 + 10082066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120102021201194 and 120102021201203.

It is not an unprimeable number, because it can be changed into a prime (120102021201221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438702122 + ... + 1438785598.

It is an arithmetic number, because the mean of its divisors is an integer number (2683065855393).

Almost surely, 2120102021201220 is an apocalyptic number.

120102021201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102021201220 is an abundant number, since it is smaller than the sum of its proper divisors (137472300916508).

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

120102021201220 is a wasteful number, since it uses less digits than its factorization.

120102021201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90889 (or 90887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120102021201220 its reverse (22102120201021), we get a palindrome (142204141402241).

The spelling of 120102021201220 in words is "one hundred twenty trillion, one hundred two billion, twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1460 2740 7193 10001 14386 20002 28772 35965 40004 50005 71930 83477 100010 143860 166954 200020 333908 417385 525089 834770 985441 1050178 1669540 1970882 2100356 2625445 3941764 4927205 5250890 6093821 9854410 10501780 11436349 12187642 19708820 22872698 24375284 30469105 45745396 57181745 60938210 71937193 114363490 121876420 143874386 228726980 287748772 359685965 600450061 719371930 834853477 1200900122 1438743860 1669706954 2401800244 3002250305 3339413908 4174267385 6004500610 8348534770 12009001220 16697069540 43832854453 82261658357 87665708906 164523316714 175331417812 219164272265 329046633428 411308291785 438328544530 822616583570 876657089060 1645233167140 6005101060061 12010202120122 24020404240244 30025505300305 60051010600610 120102021201220