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12121131333330 = 23251737123213407
BaseRepresentation
bin1011000001100010101110…
…1110100011011011010010
31120220202202111001101212100
42300120223232203123102
53042043034110131310
641440212034541230
72360502635241555
oct260305356433322
946822674041770
1012121131333330
1139535a7705448
1214391a6437816
1369c0300a8756
142dc94729c69c
1516047239aec0
hexb062bba36d2

12121131333330 has 96 divisors (see below), whose sum is σ = 33369816789504. Its totient is φ = 3042070092288.

The previous prime is 12121131333209. The next prime is 12121131333343. The reversal of 12121131333330 is 3333313112121.

12121131333330 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 11 + 313 + 3 + 3 + 330 = 666.

12121131333330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12121131333294 and 12121131333303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56691487 + ... + 56904893.

It is an arithmetic number, because the mean of its divisors is an integer number (347602258224).

Almost surely, 212121131333330 is an apocalyptic number.

12121131333330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121131333330 is an abundant number, since it is smaller than the sum of its proper divisors (21248685456174).

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

12121131333330 is a wasteful number, since it uses less digits than its factorization.

12121131333330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250560 (or 250557 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12121131333330 its reverse (3333313112121), we get a palindrome (15454444445451).

The spelling of 12121131333330 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 37123 74246 111369 185615 213407 222738 334107 371230 426814 556845 631091 640221 668214 1067035 1113690 1262182 1280442 1670535 1893273 1920663 2134070 3155455 3201105 3341070 3627919 3786546 3841326 5679819 6310910 6402210 7255838 9466365 9603315 10883757 11359638 18139595 18932730 19206630 21767514 28399095 32651271 36279190 54418785 56798190 65302542 108837570 163256355 326512710 7922308061 15844616122 23766924183 39611540305 47533848366 71300772549 79223080610 118834620915 134679237037 142601545098 237669241830 269358474074 356503862745 404037711111 673396185185 713007725490 808075422222 1212113133333 1346792370370 2020188555555 2424226266666 4040377111110 6060565666665 12121131333330