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112240121121234 = 232611972931770973
BaseRepresentation
bin11001100001010011110000…
…100011001000100111010010
3112201102001101000122110011200
4121201103300203020213102
5104202420232001334414
61034414222205452030
732433036556053561
oct3141236043104722
9481361330573150
10112240121121234
113284384a308407
1210708a79571016
134a82276034602
141da06451abbd8
15ce99530c4109
hex6614f08c89d2

112240121121234 has 96 divisors (see below), whose sum is σ = 249276307263984. Its totient is φ = 36488257021440.

The previous prime is 112240121121217. The next prime is 112240121121241. The reversal of 112240121121234 is 432121121042211.

112240121121234 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 401 + 2 + 1 + 1 + 21 + 234 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97612364730609 + 14627756390625 = 9879897^2 + 3824625^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112240121121198 and 112240121121207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62492172 + ... + 64263144.

Almost surely, 2112240121121234 is an apocalyptic number.

112240121121234 is an abundant number, since it is smaller than the sum of its proper divisors (137036186142750).

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

112240121121234 is a wasteful number, since it uses less digits than its factorization.

112240121121234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771532 (or 1771529 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 112240121121234 its reverse (432121121042211), we get a palindrome (544361242163445).

The spelling of 112240121121234 in words is "one hundred twelve trillion, two hundred forty billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 61 122 183 197 293 366 394 549 586 591 879 1098 1182 1758 1773 2637 3546 5274 12017 17873 24034 35746 36051 53619 57721 72102 107238 108153 115442 160857 173163 216306 321714 346326 519489 1038978 1770973 3520981 3541946 5312919 7041962 10562943 10625838 15938757 21125886 31688829 31877514 63377658 108029353 216058706 324088059 348881681 518895089 648176118 697763362 972264177 1037790178 1046645043 1556685267 1944528354 2093290086 3113370534 3139935129 4670055801 6279870258 9340111602 21281782541 31652600429 42563565082 63305200858 63845347623 94957801287 102222332533 127690695246 189915602574 191536042869 204444665066 284873403861 306666997599 383072085738 569746807722 613333995198 920000992797 1840001985594 6235562284513 12471124569026 18706686853539 37413373707078 56120060560617 112240121121234