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12040042113220 = 225111039428912281
BaseRepresentation
bin1010111100110100101001…
…1011101110100011000100
31120122000110020101012202211
42233031022123232203010
53034231001240110340
641335041411313204
72351602316242252
oct257151233564304
946560406335684
1012040042113220
113922175987160
1214255358ab804
136944a93c87c4
142d8a539cd5d2
1515d2c84755ea
hexaf34a6ee8c4

12040042113220 has 96 divisors (see below), whose sum is σ = 27617875084800. Its totient is φ = 4372607385600.

The previous prime is 12040042113167. The next prime is 12040042113227. The reversal of 12040042113220 is 2231124004021.

It is a super-2 number, since 2×120400421132202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12040042113191 and 12040042113200.

It is not an unprimeable number, because it can be changed into a prime (12040042113227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980373480 + ... + 980385760.

It is an arithmetic number, because the mean of its divisors is an integer number (287686198800).

Almost surely, 212040042113220 is an apocalyptic number.

12040042113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040042113220 is an abundant number, since it is smaller than the sum of its proper divisors (15577832971580).

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

12040042113220 is a wasteful number, since it uses less digits than its factorization.

12040042113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17629 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12040042113220 its reverse (2231124004021), we get a palindrome (14271166117241).

The spelling of 12040042113220 in words is "twelve trillion, forty billion, forty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1039 2078 4156 4289 5195 8578 10390 11429 12281 17156 20780 21445 22858 24562 42890 45716 47179 49124 57145 61405 85780 94358 114290 122810 135091 188716 228580 235895 245620 270182 471790 540364 675455 943580 1350910 2701820 4456271 8912542 12759959 17825084 22281355 25519918 44562710 49018981 51039836 52673209 63799795 89125420 98037962 105346418 127599590 140359549 196075924 210692836 245094905 255199180 263366045 280719098 490189810 526732090 561438196 579405299 701797745 980379620 1053464180 1158810598 1403595490 2317621196 2807190980 2897026495 5794052990 11588105980 54727464151 109454928302 218909856604 273637320755 547274641510 602002105661 1094549283020 1204004211322 2408008422644 3010010528305 6020021056610 12040042113220