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121201122102210 = 2345535235398139
BaseRepresentation
bin11011100011101101010101…
…110101000100101111000010
3120220010201021120220211210000
4123203231111311010233002
5111341224344224232320
61105435005444020430
734346330535456213
oct3343552565045702
9526121246824700
10121201122102210
113568911a7a12a7
121171570a691716
1352822a8333587
1421d024660b40a
15e02abcae0c90
hex6e3b55d44bc2

121201122102210 has 160 divisors (see below), whose sum is σ = 332680285840320. Its totient is φ = 31649844500352.

The previous prime is 121201122102163. The next prime is 121201122102233. The reversal of 121201122102210 is 12201221102121.

121201122102210 is a `hidden beast` number, since 1 + 2 + 120 + 112 + 210 + 221 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 19753321 + ... + 25151459.

It is an arithmetic number, because the mean of its divisors is an integer number (2079251786502).

Almost surely, 2121201122102210 is an apocalyptic number.

121201122102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201122102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166340142920160).

121201122102210 is an abundant number, since it is smaller than the sum of its proper divisors (211479163738110).

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

121201122102210 is a wasteful number, since it uses less digits than its factorization.

121201122102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398734 (or 5398725 counting only the distinct ones).

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

Adding to 121201122102210 its reverse (12201221102121), we get a palindrome (133402343204331).

The spelling of 121201122102210 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-two million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 523 530 795 810 954 1046 1431 1569 1590 2385 2615 2862 3138 4293 4707 4770 5230 7155 7845 8586 9414 14121 14310 15690 21465 23535 27719 28242 42363 42930 47070 55438 70605 83157 84726 138595 141210 166314 211815 249471 277190 415785 423630 498942 748413 831570 1247355 1496826 2245239 2494710 3742065 4490478 5398139 7484130 10796278 11226195 16194417 22452390 26990695 32388834 48583251 53981390 80972085 97166502 145749753 161944170 242916255 286101367 291499506 437249259 485832510 572202734 728748765 858304101 874498518 1430506835 1457497530 1716608202 2186246295 2574912303 2823226697 2861013670 4291520505 4372492590 5149824606 5646453394 7724736909 8469680091 8583041010 12874561515 14116133485 15449473818 16939360182 23174210727 25409040273 25749123030 28232266970 38623684545 42348400455 46348421454 50818080546 76227120819 77247369090 84696800910 115871053635 127045201365 149631014941 152454241638 228681362457 231742107270 254090402730 299262029882 381135604095 448893044823 457362724914 748155074705 762271208190 897786089646 1143406812285 1346679134469 1496310149410 2244465224115 2286813624570 2693358268938 4040037403407 4488930448230 6733395672345 8080074806814 12120112210221 13466791344690 20200187017035 24240224420442 40400374034070 60600561051105 121201122102210