Search a number
-
+
12041231312232 = 23322321492121761
BaseRepresentation
bin1010111100111001000101…
…0100001010010101101000
31120122010112010001210010200
42233032101110022111220
53034240420203442412
641335355412112200
72351643636253623
oct257162124122550
946563463053120
1012041231312232
113922726185a61
121425808005660
136946388aa965
142d8b2790adba
1515d347a7a9dc
hexaf39150a568

12041231312232 has 144 divisors (see below), whose sum is σ = 34320030790500. Its totient is φ = 3813464709120.

The previous prime is 12041231312221. The next prime is 12041231312249. The reversal of 12041231312232 is 23221313214021.

12041231312232 is a `hidden beast` number, since 1 + 2 + 0 + 412 + 3 + 1 + 3 + 12 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9523976176836 + 2517255135396 = 3086094^2 + 1586586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12041231312196 and 12041231312205.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4614232 + ... + 6735992.

Almost surely, 212041231312232 is an apocalyptic number.

12041231312232 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 12041231312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160015395250).

12041231312232 is an abundant number, since it is smaller than the sum of its proper divisors (22278799478268).

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

12041231312232 is a wasteful number, since it uses less digits than its factorization.

12041231312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121968 (or 2121938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12041231312232 its reverse (23221313214021), we get a palindrome (35262544526253).

The spelling of 12041231312232 in words is "twelve trillion, forty-one billion, two hundred thirty-one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 149 184 207 276 298 414 447 529 552 596 828 894 1058 1192 1341 1587 1656 1788 2116 2682 3174 3427 3576 4232 4761 5364 6348 6854 9522 10281 10728 12696 13708 19044 20562 27416 30843 38088 41124 61686 78821 82248 123372 157642 236463 246744 315284 472926 630568 709389 945852 1418778 1891704 2121761 2837556 4243522 5675112 6365283 8487044 12730566 16974088 19095849 25461132 38191698 48800503 50922264 76383396 97601006 146401509 152766792 195202012 292803018 316142389 390404024 439204527 585606036 632284778 878409054 948427167 1122411569 1171212072 1264569556 1756818108 1896854334 2244823138 2529139112 2845281501 3367234707 3513636216 3793708668 4489646276 5690563002 6734469414 7271274947 7587417336 8979292552 10101704121 11381126004 13468938828 14542549894 20203408242 21813824841 22762252008 26937877656 29085099788 40406816484 43627649682 58170199576 65441474523 80813632968 87255299364 130882949046 167239323781 174510598728 261765898092 334478647562 501717971343 523531796184 668957295124 1003435942686 1337914590248 1505153914029 2006871885372 3010307828058 4013743770744 6020615656116 12041231312232