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12232000023221 = 11294147101271727
BaseRepresentation
bin1011000111111111110000…
…0001000010101010110101
31121022100221010001101202002
42301333330001002222311
53100402114001220341
642003145255425045
72401506235454606
oct261777401025265
947270833041662
1012232000023221
113996620142090
121456788085185
136a961b558934
143040639abdad
151632b088829b
hexb1ffc042ab5

12232000023221 has 128 divisors (see below), whose sum is σ = 14658633400320. Its totient is φ = 10098950400000.

The previous prime is 12232000023109. The next prime is 12232000023247.

It is a happy number.

12232000023221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-12232000023221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12232000023193 and 12232000023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232000023281) 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 127 ways as a sum of consecutive naturals, for example, 16825309160 + ... + 16825309886.

It is an arithmetic number, because the mean of its divisors is an integer number (114520573440).

Almost surely, 212232000023221 is an apocalyptic number.

12232000023221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12232000023221 is a deficient number, since it is larger than the sum of its proper divisors (2426633377099).

12232000023221 is a wasteful number, since it uses less digits than its factorization.

12232000023221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 122320000 and 23221, that added together give a palindrome (122343221).

The spelling of 12232000023221 in words is "twelve trillion, two hundred thirty-two billion, twenty-three thousand, two hundred twenty-one".

Divisors: 1 11 29 41 47 101 271 319 451 517 727 1111 1189 1363 1927 2929 2981 4141 4747 7859 7997 11111 12737 13079 14993 21083 21197 27371 29807 32219 34169 45551 52217 55883 73427 86449 120089 122221 137663 140107 194627 197017 231913 301081 322219 327877 369373 375859 522217 614713 793759 807697 864403 990901 1122211 1286437 1320979 1400929 1514293 2129383 2140897 2167187 3010507 3451069 3544409 4063103 5644183 5713493 5744387 8077697 8731349 9259799 9508433 10899911 12344321 14150807 15144293 15410219 19898717 23423213 32544119 33115577 37306673 37961759 40626941 52743917 62086013 62848423 87304703 88854667 100081001 101857789 141493829 166587223 218885887 234253213 268534171 357985309 379651759 410373403 446896351 577062793 580183087 815847397 935239699 960351733 1100891011 1529573593 1556432119 2576785343 2953875881 4103321041 4176169349 6347690723 8974321367 10287636689 11009901011 16825309523 23659574513 27121951271 38344827659 45136531451 121108911121 260255319643 298341463981 421793104249 1112000002111 12232000023221