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11220012212112 = 24331110722066483
BaseRepresentation
bin1010001101000101110011…
…0101111001111110010000
31110201121210221110001221000
42203101130311321332100
52432312041111241422
635510222532502000
72235422235136134
oct243213465717620
943647727401830
1011220012212112
113636420430290
12131261b47a900
13635072805552
142ab0a13db3c4
15146cd19accac
hexa345cd79f90

11220012212112 has 160 divisors (see below), whose sum is σ = 35461722447360. Its totient is φ = 3368227812480.

The previous prime is 11220012212029. The next prime is 11220012212131. The reversal of 11220012212112 is 21121221002211.

11220012212112 is a `hidden beast` number, since 11 + 220 + 0 + 1 + 221 + 211 + 2 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10524778 + ... + 11541705.

It is an arithmetic number, because the mean of its divisors is an integer number (221635765296).

Almost surely, 211220012212112 is an apocalyptic number.

11220012212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220012212112 is an abundant number, since it is smaller than the sum of its proper divisors (24241710235248).

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

11220012212112 is a wasteful number, since it uses less digits than its factorization.

11220012212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066618 (or 22066606 counting only the distinct ones).

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

Adding to 11220012212112 its reverse (21121221002211), we get a palindrome (32341233214323).

The spelling of 11220012212112 in words is "eleven trillion, two hundred twenty billion, twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 107 108 132 144 176 198 214 216 264 297 321 396 428 432 528 594 642 792 856 963 1177 1188 1284 1584 1712 1926 2354 2376 2568 2889 3531 3852 4708 4752 5136 5778 7062 7704 9416 10593 11556 14124 15408 18832 21186 23112 28248 31779 42372 46224 56496 63558 84744 127116 169488 254232 508464 22066483 44132966 66199449 88265932 132398898 176531864 198598347 242731313 264797796 353063728 397196694 485462626 529595592 595795041 728193939 794393388 970925252 1059191184 1191590082 1456387878 1588786776 1941850504 2184581817 2361113681 2383180164 2912775756 3177573552 3883701008 4369163634 4722227362 4766360328 5825551512 6553745451 7083341043 8738327268 9444454724 9532720656 11651103024 13107490902 14166682086 17476654536 18888909448 21250023129 25972250491 26214981804 28333364172 34953309072 37777818896 42500046258 51944500982 52429963608 56666728344 63750069387 77916751473 85000092516 103889001964 104859927216 113333456688 127500138774 155833502946 170000185032 207778003928 233750254419 255000277548 311667005892 340000370064 415556007856 467500508838 510000555096 623334011784 701250763257 935001017676 1020001110192 1246668023568 1402501526514 1870002035352 2805003053028 3740004070704 5610006106056 11220012212112