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12121012331120 = 24571117115746871
BaseRepresentation
bin1011000001100010010010…
…1000100110001001110000
31120220202110012010110112002
42300120210220212021300
53042042313124043440
641440152144153132
72360466661604420
oct260304450461160
946822405113462
1012121012331120
113953546515310
1214391726087a8
1369c011540a44
142dc935562480
15160466be1115
hexb0624a26270

12121012331120 has 160 divisors (see below), whose sum is σ = 37201970635776. Its totient is φ = 3555743846400.

The previous prime is 12121012331119. The next prime is 12121012331167. The reversal of 12121012331120 is 2113321012121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12121012331092 and 12121012331101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57768716 + ... + 57978155.

Almost surely, 212121012331120 is an apocalyptic number.

12121012331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121012331120 is an abundant number, since it is smaller than the sum of its proper divisors (25080958304656).

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

12121012331120 is a wasteful number, since it uses less digits than its factorization.

12121012331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115746919 (or 115746913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12121012331120 its reverse (2113321012121), we get a palindrome (14234333343241).

The spelling of 12121012331120 in words is "twelve trillion, one hundred twenty-one billion, twelve million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1496 1540 1870 1904 2380 2618 2992 3080 3740 4760 5236 6160 6545 7480 9520 10472 13090 14960 20944 26180 52360 104720 115746871 231493742 462987484 578734355 810228097 925974968 1157468710 1273215581 1620456194 1851949936 1967696807 2314937420 2546431162 3240912388 3935393614 4051140485 4629874840 5092862324 6366077905 6481824776 7870787228 8102280970 8912509067 9259749680 9838484035 10185724648 12732155810 12963649552 13773877649 15741574456 16204561940 17825018134 19676968070 20371449296 21644664877 25464311620 27547755298 31483148912 32409123880 35650036268 39353936140 43289329754 44562545335 50928623240 55095510596 64818247760 68869388245 71300072536 78707872280 86578659508 89125090670 101857246480 108223324385 110191021192 137738776490 142600145072 151512654139 157415744560 173157319016 178250181340 216446648770 220382042384 275477552980 303025308278 346314638032 356500362680 432893297540 550955105960 606050616556 713000725360 757563270695 865786595080 1101910211920 1212101233112 1515126541390 1731573190160 2424202466224 3030253082780 6060506165560 12121012331120