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12110141032440 = 23351158511156797
BaseRepresentation
bin1011000000111001110010…
…1001111000011111111000
31120212201101112212021022020
42300032130221320133320
53041403032101014230
641431153314354440
72356633404233163
oct260163451703770
946781345767266
1012110141032440
1139499779a1750
12143703988ba20
1369ac9b198a29
142dc1c37d4ada
1516002c5c5810
hexb039ca787f8

12110141032440 has 128 divisors (see below), whose sum is σ = 39634118968320. Its totient is φ = 2935722867200.

The previous prime is 12110141032427. The next prime is 12110141032453. The reversal of 12110141032440 is 4423014101121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12110141032427) and next prime (12110141032453).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12110141032440.

It is a congruent number.

It is an unprimeable number.

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, 77156122 + ... + 77312918.

It is an arithmetic number, because the mean of its divisors is an integer number (309641554440).

Almost surely, 212110141032440 is an apocalyptic number.

12110141032440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110141032440 is an abundant number, since it is smaller than the sum of its proper divisors (27523977935880).

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

12110141032440 is a wasteful number, since it uses less digits than its factorization.

12110141032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215333 (or 215329 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12110141032440 its reverse (4423014101121), we get a palindrome (16533155133561).

The spelling of 12110141032440 in words is "twelve trillion, one hundred ten billion, one hundred forty-one million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 58511 117022 156797 175533 234044 292555 313594 351066 468088 470391 585110 627188 643621 702132 783985 877665 940782 1170220 1254376 1287242 1404264 1567970 1724767 1755330 1881564 1930863 2340440 2351955 2574484 3135940 3218105 3449534 3510660 3763128 3861726 4703910 5148968 5174301 6271880 6436210 6899068 7021320 7723452 8623835 9407820 9654315 10348602 12872420 13798136 15446904 17247670 18815640 19308630 20697204 25744840 25871505 34495340 38617260 41394408 51743010 68990680 77234520 103486020 206972040 9174349267 18348698534 27523047801 36697397068 45871746335 55046095602 73394794136 91743492670 100917841937 110092191204 137615239005 183486985340 201835683874 220184382408 275230478010 302753525811 366973970680 403671367748 504589209685 550460956020 605507051622 807342735496 1009178419370 1100921912040 1211014103244 1513767629055 2018356838740 2422028206488 3027535258110 4036713677480 6055070516220 12110141032440