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141122412141012 = 223217299678222807
BaseRepresentation
bin100000000101100110011111…
…001111101101100111010100
3200111200011121112201000222200
4200011212133033231213110
5121444122200002003022
61220050424030324500
741503520634051441
oct4005463717554724
9614604545630880
10141122412141012
1140a69751666525
12139b2576359730
136098a2b840473
1426bc50b17a9c8
15114adb787bbac
hex80599f3ed9d4

141122412141012 has 144 divisors (see below), whose sum is σ = 391138583996160. Its totient is φ = 42702807684096.

The previous prime is 141122412141001. The next prime is 141122412141047. The reversal of 141122412141012 is 210141214221141.

141122412141012 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 241 + 2 + 1 + 410 + 1 + 2 = 666.

It is a super-2 number, since 2×1411224121410122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13050913 + ... + 21273719.

It is an arithmetic number, because the mean of its divisors is an integer number (2716240166640).

Almost surely, 2141122412141012 is an apocalyptic number.

141122412141012 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 141122412141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195569291998080).

141122412141012 is an abundant number, since it is smaller than the sum of its proper divisors (250016171855148).

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

141122412141012 is a wasteful number, since it uses less digits than its factorization.

141122412141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223830 (or 8223825 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 141122412141012 its reverse (210141214221141), we get a palindrome (351263626362153).

The spelling of 141122412141012 in words is "one hundred forty-one trillion, one hundred twenty-two billion, four hundred twelve million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 967 986 1044 1479 1934 1972 2901 2958 3868 4437 5802 5916 8703 8874 11604 16439 17406 17748 28043 32878 34812 49317 56086 65756 84129 98634 112172 147951 168258 197268 252387 295902 336516 476731 504774 591804 953462 1009548 1430193 1906924 2860386 4290579 5720772 8222807 8581158 16445614 17162316 24668421 32891228 49336842 74005263 98673684 139787719 148010526 238461403 279575438 296021052 419363157 476922806 559150876 715384209 838726314 953845612 1258089471 1430768418 1677452628 2146152627 2516178942 2861536836 4053843851 4292305254 5032357884 7951454369 8107687702 8584610508 12161531553 15902908738 16215375404 23854363107 24323063106 31805817476 36484594659 47708726214 48646126212 71563089321 72969189318 95417452428 135174724273 143126178642 145938378636 230592176701 270349448546 286252357284 405524172819 461184353402 540698897092 691776530103 811048345638 922368706804 1216572518457 1383553060206 1622096691276 2075329590309 2433145036914 2767106120412 3920067003917 4150659180618 4866290073828 7840134007834 8301318361236 11760201011751 15680268015668 23520402023502 35280603035253 47040804047004 70561206070506 141122412141012