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144122112012123 = 36770939834449
BaseRepresentation
bin100000110001010000001011…
…010010100110111101011011
3200220021221100210020012000000
4200301100023102212331123
5122342244041133341443
61230304441221144043
742233323201211310
oct4061201322467533
9626257323205000
10144122112012123
1141a15931a7a9a3
12141b79b785b023
1362558701289bb
142783794268d07
15119de30a888d3
hex83140b4a6f5b

144122112012123 has 56 divisors (see below), whose sum is σ = 247301825868000. Its totient is φ = 82239333260544.

The previous prime is 144122112012119. The next prime is 144122112012167. The reversal of 144122112012123 is 321210211221441.

144122112012123 is a `hidden beast` number, since 1 + 4 + 412 + 2 + 1 + 1 + 201 + 21 + 23 = 666.

It is not a de Polignac number, because 144122112012123 - 22 = 144122112012119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144122112012103) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16299198 + ... + 23535251.

Almost surely, 2144122112012123 is an apocalyptic number.

144122112012123 is a deficient number, since it is larger than the sum of its proper divisors (103179713855877).

144122112012123 is an frugal number, since it uses more digits than its factorization.

144122112012123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39835183 (or 39835168 counting only the distinct ones).

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

Adding to 144122112012123 its reverse (321210211221441), we get a palindrome (465332323233564).

The spelling of 144122112012123 in words is "one hundred forty-four trillion, one hundred twenty-two billion, one hundred twelve million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 709 729 1701 2127 4963 5103 6381 14889 19143 44667 57429 134001 172287 402003 516861 1206009 3618027 39834449 119503347 278841143 358510041 836523429 1075530123 2509570287 3226590369 7528710861 9679771107 22586132583 28242624341 29039313321 67758397749 84727873023 197698370387 203275193247 254183619069 593095111161 762550857207 1779285333483 2287652571621 5337856000449 6862957714863 16013568001347 20588873144589 48040704004041 144122112012123