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11221201220112 = 2432137977520993
BaseRepresentation
bin1010001101001010001110…
…1101100111001000010000
31110201201212210202221021100
42203102203231213020100
52432322010003020422
635510540525224400
72235463553423562
oct243224355471020
943651783687240
1011221201220112
113636980609624
1213128b1702100
13635201c4b790
142ab1752a9332
15146d510767ac
hexa34a3b67210

11221201220112 has 120 divisors (see below), whose sum is σ = 33861891622104. Its totient is φ = 3448344748032.

The previous prime is 11221201220107. The next prime is 11221201220123. The reversal of 11221201220112 is 21102210212211.

11221201220112 is a `hidden beast` number, since 11 + 221 + 201 + 220 + 1 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17560490256 + 11203640729856 = 132516^2 + 3347184^2 .

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2268513 + ... + 5252480.

Almost surely, 211221201220112 is an apocalyptic number.

11221201220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11221201220112 is an abundant number, since it is smaller than the sum of its proper divisors (22640690401992).

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

11221201220112 is a wasteful number, since it uses less digits than its factorization.

11221201220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521817 (or 7521808 counting only the distinct ones).

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

Adding to 11221201220112 its reverse (21102210212211), we get a palindrome (32323411432323).

The spelling of 11221201220112 in words is "eleven trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 797 936 1594 1872 2391 3188 4782 6376 7173 9564 10361 12752 14346 19128 20722 28692 31083 38256 41444 57384 62166 82888 93249 114768 124332 165776 186498 248664 372996 497328 745992 1491984 7520993 15041986 22562979 30083972 45125958 60167944 67688937 90251916 97772909 120335888 135377874 180503832 195545818 270755748 293318727 361007664 391091636 541511496 586637454 782183272 879956181 1083022992 1173274908 1564366544 1759912362 2346549816 3519824724 4693099632 5994231421 7039649448 11988462842 14079298896 17982694263 23976925684 35965388526 47953851368 53948082789 71930777052 77925008473 95907702736 107896165578 143861554104 155850016946 215792331156 233775025419 287723108208 311700033892 431584662312 467550050838 623400067784 701325076257 863169324624 935100101676 1246800135568 1402650152514 1870200203352 2805300305028 3740400406704 5610600610056 11221201220112