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12121351110 = 2345114133181
BaseRepresentation
bin10110100100111110…
…10010001111000110
31011021202110102210000
423102133102033012
5144311031213420
65322442342130
7606243533031
oct132237221706
934252412700
1012121351110
115160206550
1224234ba946
1311b234270b
1482dbaa018
154ae241690
hex2d27d23c6

12121351110 has 160 divisors (see below), whose sum is σ = 36424279584. Its totient is φ = 2866752000.

The previous prime is 12121351079. The next prime is 12121351117. The reversal of 12121351110 is 1115312121.

12121351110 is a `hidden beast` number, since 121 + 21 + 3 + 511 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121351117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 348720 + ... + 381900.

Almost surely, 212121351110 is an apocalyptic number.

12121351110 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 12121351110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18212139792).

12121351110 is an abundant number, since it is smaller than the sum of its proper divisors (24302928474).

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

12121351110 is a wasteful number, since it uses less digits than its factorization.

12121351110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33252 (or 33243 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 12121351110 its reverse (1115312121), we get a palindrome (13236663231).

The spelling of 12121351110 in words is "twelve billion, one hundred twenty-one million, three hundred fifty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 81 82 90 99 110 123 135 162 165 198 205 246 270 297 330 369 405 410 451 495 594 615 738 810 891 902 990 1107 1230 1353 1485 1782 1845 2214 2255 2706 2970 3321 3690 4059 4455 4510 5535 6642 6765 8118 8910 11070 12177 13530 16605 20295 24354 33181 33210 36531 40590 60885 66362 73062 99543 121770 165905 182655 199086 298629 331810 364991 365310 497715 597258 729982 895887 995430 1094973 1360421 1493145 1791774 1824955 2189946 2687661 2720842 2986290 3284919 3649910 4081263 4479435 5375322 5474865 6569838 6802105 8162526 8958870 9854757 10949730 12243789 13438305 13604210 14964631 16424595 19709514 20406315 24487578 26876610 29564271 29929262 32849190 36731367 40812630 44893893 49273785 59128542 61218945 73462734 74823155 89787786 98547570 110194101 122437890 134681679 147821355 149646310 183656835 220388202 224469465 269363358 295642710 367313670 404045037 448938930 550970505 673408395 808090074 1101941010 1212135111 1346816790 2020225185 2424270222 4040450370 6060675555 12121351110