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21121222010112 = 28337436533193
BaseRepresentation
bin1001100110101101010101…
…11011110110010100000000
32202210011120021111002101000
410303112222323312110000
510232022230313310422
6112530542213012000
74306646366612010
oct463265273662400
982704507432330
1021121222010112
116803507217364
122451526624000
13ba2951996433
145303b6029c40
152696289d9cac
hex1335aaef6500

21121222010112 has 144 divisors (see below), whose sum is σ = 71381907882880. Its totient is φ = 6034634846208.

The previous prime is 21121222010087. The next prime is 21121222010113. The reversal of 21121222010112 is 21101022212112.

21121222010112 is a `hidden beast` number, since 211 + 212 + 220 + 10 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×211212220101122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121222010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218218213 + ... + 218314980.

Almost surely, 221121222010112 is an apocalyptic number.

It is an amenable number.

21121222010112 is an abundant number, since it is smaller than the sum of its proper divisors (50260685872768).

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

21121222010112 is an equidigital number, since it uses as much as digits as its factorization.

21121222010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436533225 (or 436533205 counting only the distinct ones).

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

Adding to 21121222010112 its reverse (21101022212112), we get a palindrome (42222244222224).

The spelling of 21121222010112 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 436533193 873066386 1309599579 1746132772 2619199158 3055732351 3492265544 3928798737 5238398316 6111464702 6984531088 7857597474 9167197053 10476796632 11786396211 12222929404 13969062176 15715194948 18334394106 20953593264 23572792422 24445858808 27501591159 27938124352 31430389896 36668788212 41907186528 47145584844 48891717616 55003182318 55876248704 62860779792 73337576424 82504773477 83814373056 94291169688 97783435232 110006364636 111752497408 125721559584 146675152848 165009546954 167628746112 188582339376 195566870464 220012729272 251443119168 293350305696 330019093908 335257492224 377164678752 391133740928 440025458544 502886238336 586700611392 660038187816 754329357504 782267481856 880050917088 1005772476672 1173401222784 1320076375632 1508658715008 1760101834176 2346802445568 2640152751264 3017317430016 3520203668352 5280305502528 7040407336704 10560611005056 21121222010112