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120100201221 = 371113291519133
BaseRepresentation
bin110111111011010000…
…1111010001100000101
3102110222222201100201210
41233312201322030011
53431431122414341
6131101232042033
711451123603150
oct1576641721405
9373888640653
10120100201221
1146a30483850
121b339393319
13b42cb9b630
145b5478ac97
1531cdb99c16
hex1bf687a305

120100201221 has 128 divisors (see below), whose sum is σ = 223915991040. Its totient is φ = 55230336000.

The previous prime is 120100201099. The next prime is 120100201253. The reversal of 120100201221 is 122102001021.

It is not a de Polignac number, because 120100201221 - 214 = 120100184837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120100201197 and 120100201206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100201261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13145571 + ... + 13154703.

It is an arithmetic number, because the mean of its divisors is an integer number (1749343680).

Almost surely, 2120100201221 is an apocalyptic number.

120100201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120100201221 is a deficient number, since it is larger than the sum of its proper divisors (103815789819).

120100201221 is a wasteful number, since it uses less digits than its factorization.

120100201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100201221 its reverse (122102001021), we get a palindrome (242202202242).

The spelling of 120100201221 in words is "one hundred twenty billion, one hundred million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 143 151 203 231 273 319 377 429 453 609 957 1001 1057 1131 1661 1963 2233 2639 3003 3171 4147 4379 4983 5889 6699 7917 9133 11627 12441 13137 13741 21593 27399 29029 30653 34881 41223 48169 56927 63931 64779 87087 91959 100463 118729 144507 151151 170781 191793 264857 301389 337183 356187 398489 453453 626197 703241 794571 831103 1011549 1195467 1306019 1379083 1853999 1878591 2109723 2493309 2913427 3443141 3918057 4137249 4383379 5561997 8740281 9142133 9653581 10329423 13150137 15169913 17928079 20393989 24101987 27426399 28960743 37874551 39993407 45509739 53784237 61181967 72305961 106189391 113623653 119980221 125496553 197208869 265121857 279953849 318568173 376489659 439927477 519914291 591626607 795365571 839861547 1319782431 1380462083 1559742873 3079492339 3639400037 4141386249 5719057201 9238477017 10918200111 17157171603 40033400407 120100201221