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12040501505412 = 223171925431221559
BaseRepresentation
bin1010111100110110010111…
…0100001010110110000100
31120122001122020210202101110
42233031211310022312010
53034232421341133122
641335155141525020
72351616565100142
oct257154564126604
946561566722343
1012040501505412
113922391228326
121425643713770
136945506334c3
142d8a98a14592
1515d30396b90c
hexaf365d0ad84

12040501505412 has 96 divisors (see below), whose sum is σ = 31325098291200. Its totient is φ = 3577190902272.

The previous prime is 12040501505401. The next prime is 12040501505437. The reversal of 12040501505412 is 21450510504021.

12040501505412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12040501505412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9245889 + ... + 10467447.

It is an arithmetic number, because the mean of its divisors is an integer number (326303107200).

Almost surely, 212040501505412 is an apocalyptic number.

12040501505412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040501505412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662549145600).

12040501505412 is an abundant number, since it is smaller than the sum of its proper divisors (19284596785788).

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

12040501505412 is a wasteful number, since it uses less digits than its factorization.

12040501505412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224145 (or 1224143 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 12040501505412 in words is "twelve trillion, forty billion, five hundred one million, five hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 2543 3876 5086 7629 10172 15258 30516 43231 48317 86462 96634 129693 144951 172924 193268 259386 289902 518772 579804 821389 1221559 1642778 2443118 2464167 3285556 3664677 4886236 4928334 7329354 9856668 14658708 20766503 23209621 41533006 46419242 62299509 69628863 83066012 92838484 124599018 139257726 249198036 278515452 394563557 789127114 1183690671 1578254228 2367381342 3106424537 4734762684 6212849074 9319273611 12425698148 18638547222 37277094444 52809217129 59022066203 105618434258 118044132406 158427651387 177066198609 211236868516 236088264812 316855302774 354132397218 633710605548 708264794436 1003375125451 2006750250902 3010125376353 4013500501804 6020250752706 12040501505412