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12040113321225 = 3252116685372767
BaseRepresentation
bin1010111100110100111010…
…1011010111010100001001
31120122000122012100221210100
42233031032223113110021
53034231123002234400
641335052433440013
72351604142426623
oct257151653272411
946560565327710
1012040113321225
1139222020a2850
121425555710009
136944bb09b112
142d8a5d247c13
1515d2ce83e100
hexaf34ead7509

12040113321225 has 72 divisors (see below), whose sum is σ = 23526326932992. Its totient is φ = 5837463158400.

The previous prime is 12040113321169. The next prime is 12040113321287. The reversal of 12040113321225 is 52212331104021.

It is a happy number.

12040113321225 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 113 + 321 + 225 = 666.

It is not a de Polignac number, because 12040113321225 - 26 = 12040113321161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165424792 + ... + 165497558.

It is an arithmetic number, because the mean of its divisors is an integer number (326754540736).

Almost surely, 212040113321225 is an apocalyptic number.

12040113321225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12040113321225 is a deficient number, since it is larger than the sum of its proper divisors (11486213611767).

12040113321225 is a wasteful number, since it uses less digits than its factorization.

12040113321225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139647 (or 139639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12040113321225 its reverse (52212331104021), we get a palindrome (64252444425246).

The spelling of 12040113321225 in words is "twelve trillion, forty billion, one hundred thirteen million, three hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 66853 72767 200559 218301 334265 363835 601677 654903 735383 800437 1002795 1091505 1671325 1819175 2206149 2401311 3008385 3274515 3676915 4002185 5013975 5457525 6618447 7203933 11030745 12006555 15041925 16372575 18384575 20010925 33092235 36019665 55153725 60032775 165461175 180098325 4864692251 14594076753 24323461255 43782230259 53511614761 72970383765 121617306275 160534844283 218911151295 267558073805 364851918825 481604532849 802674221415 1094555756475 1337790369025 2408022664245 4013371107075 12040113321225