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120412433211323 = 1123591011992711481
BaseRepresentation
bin11011011000001110110100…
…010011101101111110111011
3120210100022112111121222111112
4123120032310103231332323
5111240314130400230243
61104032412543550535
734235340226505531
oct3330166423557673
9523308474558445
10120412433211323
1135404698447270
12116088a02bb44b
135225ac789b996
1421a3dc85bc151
15ddc30c843818
hex6d83b44edfbb

120412433211323 has 128 divisors (see below), whose sum is σ = 142098997248000. Its totient is φ = 100958140800000.

The previous prime is 120412433211229. The next prime is 120412433211349. The reversal of 120412433211323 is 323112334214021.

It is not a de Polignac number, because 120412433211323 - 216 = 120412433145787 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120412433211323.

It is not an unprimeable number, because it can be changed into a prime (120412433211373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81304815743 + ... + 81304817223.

It is an arithmetic number, because the mean of its divisors is an integer number (1110148416000).

Almost surely, 2120412433211323 is an apocalyptic number.

120412433211323 is a deficient number, since it is larger than the sum of its proper divisors (21686564036677).

120412433211323 is a wasteful number, since it uses less digits than its factorization.

120412433211323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 120412433211323 its reverse (323112334214021), we get a palindrome (443524767425344).

The spelling of 120412433211323 in words is "one hundred twenty trillion, four hundred twelve billion, four hundred thirty-three million, two hundred eleven thousand, three hundred twenty-three".

Divisors: 1 11 23 59 101 199 253 271 649 1111 1357 1481 2189 2323 2981 4577 5959 6233 11741 14927 15989 16291 20099 25553 27371 34063 50347 53929 65549 68563 87379 129151 137057 149581 175879 221089 270043 294719 301081 367747 374693 401351 462277 593219 629533 961169 1185841 1240367 1507627 1614889 1645391 2009717 2970473 3181811 3241909 3440363 4045217 4414861 5085047 5446829 6778537 6924863 8825279 9231073 13044251 13644037 17388421 17763779 22106887 23679709 27274343 29766619 34999921 37142447 37843993 40536451 59915119 73181653 74563907 79868849 97078069 101541803 125277067 191272631 202981417 260476799 300017773 321362911 327432809 399933683 408566917 445900961 544633307 684632237 804998183 878557339 932338373 1378047737 1756230521 1836983527 2232795587 2391650609 3534992021 4399270513 4712262091 5990966377 7391346953 7530954607 8066753749 10255722103 19318535731 20206818797 26308156699 40393301983 51834883001 55007964007 81304816483 88734291239 108382028093 185535336227 444326321813 475938471191 605087604077 1192202309023 2040888698497 5235323183101 10946584837393 120412433211323