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12220021121112 = 2333725132199301
BaseRepresentation
bin1011000111010011001000…
…0001001010000001011000
31121021020000021122010021000
42301310302001022001120
53100203100401333422
641553444502145000
72400603341462010
oct261646201120130
947236007563230
1012220021121112
113991533390692
1214543a4422160
136a845c8a018c
14303648ac2c40
15162d0ddd3cac
hexb1d3204a058

12220021121112 has 128 divisors (see below), whose sum is σ = 38948275699200. Its totient is φ = 3477524400000.

The previous prime is 12220021121071. The next prime is 12220021121131. The reversal of 12220021121112 is 21112112002221.

12220021121112 is a `hidden beast` number, since 12 + 220 + 0 + 211 + 211 + 12 = 666.

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

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, 15720139 + ... + 16479162.

It is an arithmetic number, because the mean of its divisors is an integer number (304283403900).

Almost surely, 212220021121112 is an apocalyptic number.

12220021121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220021121112 is an abundant number, since it is smaller than the sum of its proper divisors (26728254578088).

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

12220021121112 is a wasteful number, since it uses less digits than its factorization.

12220021121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32199574 (or 32199564 counting only the distinct ones).

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

Adding to 12220021121112 its reverse (21112112002221), we get a palindrome (33332133123333).

The spelling of 12220021121112 in words is "twelve trillion, two hundred twenty billion, twenty-one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 251 252 378 502 504 753 756 1004 1506 1512 1757 2008 2259 3012 3514 4518 5271 6024 6777 7028 9036 10542 13554 14056 15813 18072 21084 27108 31626 42168 47439 54216 63252 94878 126504 189756 379512 32199301 64398602 96597903 128797204 193195806 225395107 257594408 289793709 386391612 450790214 579587418 676185321 772783224 869381127 901580428 1159174836 1352370642 1738762254 1803160856 2028555963 2318349672 2704741284 3477524508 4057111926 5409482568 6085667889 6955049016 8082024551 8114223852 12171335778 16164049102 16228447704 24246073653 24342671556 32328098204 48492147306 48685343112 56574171857 64656196408 72738220959 96984294612 113148343714 145476441918 169722515571 193968589224 218214662877 226296687428 290952883836 339445031142 436429325754 452593374856 509167546713 581905767672 678890062284 872858651508 1018335093426 1357780124568 1527502640139 1745717303016 2036670186852 3055005280278 4073340373704 6110010560556 12220021121112