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11220012110120 = 23511173148387149
BaseRepresentation
bin1010001101000101110011…
…0101100001000100101000
31110201121210221020220000112
42203101130311201010220
52432312041100010440
635510222530353452
72235422234232602
oct243213465410450
943647727226015
1011220012110120
1136364203706a0
12131261b42b888
1363507279acb8
142ab0a13b2172
15146cd198c965
hexa345cd61128

11220012110120 has 128 divisors (see below), whose sum is σ = 30100678272000. Its totient is φ = 3716132966400.

The previous prime is 11220012110101. The next prime is 11220012110129. The reversal of 11220012110120 is 2101121002211.

It is a junction number, because it is equal to n+sod(n) for n = 11220012110095 and 11220012110104.

It is not an unprimeable number, because it can be changed into a prime (11220012110129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23961695 + ... + 24425454.

It is an arithmetic number, because the mean of its divisors is an integer number (235161549000).

Almost surely, 211220012110120 is an apocalyptic number.

11220012110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220012110120 is an abundant number, since it is smaller than the sum of its proper divisors (18880666161880).

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

11220012110120 is a wasteful number, since it uses less digits than its factorization.

11220012110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48387219 (or 48387215 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11220012110120 its reverse (2101121002211), we get a palindrome (13321133112331).

The spelling of 11220012110120 in words is "eleven trillion, two hundred twenty billion, twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 31 34 40 44 55 62 68 85 88 110 124 136 155 170 187 220 248 310 340 341 374 440 527 620 680 682 748 935 1054 1240 1364 1496 1705 1870 2108 2635 2728 3410 3740 4216 5270 5797 6820 7480 10540 11594 13640 21080 23188 28985 46376 57970 115940 231880 48387149 96774298 193548596 241935745 387097192 483871490 532258639 822581533 967742980 1064517278 1500001619 1645163066 1935485960 2129034556 2661293195 3000003238 3290326132 4112907665 4258069112 5322586390 6000006476 6580652264 7500008095 8225815330 9048396863 10645172780 12000012952 15000016190 16451630660 16500017809 18096793726 21290345560 25500027523 30000032380 32903261320 33000035618 36193587452 45241984315 51000055046 60000064760 66000071236 72387174904 82500089045 90483968630 102000110092 127500137615 132000142472 165000178090 180967937260 204000220184 255000275230 280500302753 330000356180 361935874520 510000550460 561000605506 660000712360 1020001100920 1122001211012 1402501513765 2244002422024 2805003027530 5610006055060 11220012110120