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120220210210212 = 22347192789849861
BaseRepresentation
bin11011010101011011110010…
…111011001010010110100100
3120202122221101011010202220000
4123111123302323022112210
5111224141442303211322
61103404222505541300
734215423611115630
oct3325336273122644
9522587334122800
10120220210210212
1135340117590482
12115975951a4830
1352109428441c8
142198991315dc0
15dd730c01a3ac
hex6d56f2eca5a4

120220210210212 has 120 divisors (see below), whose sum is σ = 378080453298240. Its totient is φ = 32540808767040.

The previous prime is 120220210210187. The next prime is 120220210210237. The reversal of 120220210210212 is 212012012022021.

It is a happy number.

120220210210212 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 21 + 0 + 210 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (120220210210187) and next prime (120220210210237).

It is a super-2 number, since 2×1202202102102122 (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 39 ways as a sum of consecutive naturals, for example, 1394881839 + ... + 1394968022.

It is an arithmetic number, because the mean of its divisors is an integer number (3150670444152).

Almost surely, 2120220210210212 is an apocalyptic number.

120220210210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120220210210212 is an abundant number, since it is smaller than the sum of its proper divisors (257860243088028).

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

120220210210212 is a wasteful number, since it uses less digits than its factorization.

120220210210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789849903 (or 2789849892 counting only the distinct ones).

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

Adding to 120220210210212 its reverse (212012012022021), we get a palindrome (332232222232233).

The spelling of 120220210210212 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred ten million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 14364 21546 43092 2789849861 5579699722 8369549583 11159399444 16739099166 19528949027 25108648749 33478198332 39057898054 50217297498 53007147359 58586847081 75325946247 78115796108 100434594996 106014294718 117173694162 150651892494 159021442077 175760541243 212028589436 225977838741 234347388324 301303784988 318042884154 351521082486 371050031513 451955677482 477064326231 527281623729 636085768308 703042164972 742100063026 903911354964 954128652462 1054563247458 1113150094539 1431192978693 1484200126052 1581844871187 1908257304924 2109126494916 2226300189078 2862385957386 3163689742374 3339450283617 4293578936079 4452600378156 5724771914772 6327379484748 6678900567234 8587157872158 10018350850851 13357801134468 17174315744316 20036701701702 30055052552553 40073403403404 60110105105106 120220210210212