Search a number
-
+
120201202220121 = 33111637013354047
BaseRepresentation
bin11011010101001010000101…
…111101011011110001011001
3120202121010022110020211102000
4123111022011331123301121
5111223334030232020441
61103351400414431213
734214151562634121
oct3325120575336131
9522533273224360
10120201202220121
1135333053018160
121159396b502509
13520bc038399a9
142197aaaa9bc81
15dd6a984032b6
hex6d5285f5bc59

120201202220121 has 64 divisors (see below), whose sum is σ = 195484799139840. Its totient is φ = 72391757296320.

The previous prime is 120201202220119. The next prime is 120201202220137. The reversal of 120201202220121 is 121022202102021.

It is a happy number.

120201202220121 is a `hidden beast` number, since 1 + 20 + 201 + 202 + 220 + 1 + 21 = 666.

It is not a de Polignac number, because 120201202220121 - 21 = 120201202220119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120201202220094 and 120201202220103.

It is not an unprimeable number, because it can be changed into a prime (120201202220191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339329320 + ... + 339683366.

It is an arithmetic number, because the mean of its divisors is an integer number (3054449986560).

Almost surely, 2120201202220121 is an apocalyptic number.

120201202220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120201202220121 is a deficient number, since it is larger than the sum of its proper divisors (75283596919719).

120201202220121 is a wasteful number, since it uses less digits than its factorization.

120201202220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361243 (or 361237 counting only the distinct ones).

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

Adding to 120201202220121 its reverse (121022202102021), we get a palindrome (241223404322142).

The spelling of 120201202220121 in words is "one hundred twenty trillion, two hundred one billion, two hundred two million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 163 297 489 1467 1793 4401 5379 7013 16137 21039 48411 63117 77143 189351 231429 354047 694287 1062141 1143119 2082861 3186423 3429357 3894517 9559269 10288071 11683551 12574309 30864213 35050653 37722927 57709661 105151959 113168781 173128983 339506343 519386949 634806271 1558160847 1904418813 2482931611 5713256439 7448794833 17139769317 22346384499 27312247721 67039153497 81936743163 245810229489 404717852593 737430688467 1214153557779 3642460673337 4451896378523 10927382020011 13355689135569 40067067406707 120201202220121