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12401332131111 = 37211414334021
BaseRepresentation
bin1011010001110110100011…
…1111110001010100100111
31121220120000011021202010120
42310131220333301110213
53111140412011143421
642213032054253023
72416652366566500
oct264355077612447
947816004252116
1012401332131111
113a51414760000
121483565057173
136bc596005b91
1430c328a67ba7
151678c17548c6
hexb4768ff1527

12401332131111 has 120 divisors (see below), whose sum is σ = 21178090203120. Its totient is φ = 6436153785600.

The previous prime is 12401332131077. The next prime is 12401332131143. The reversal of 12401332131111 is 11113123310421.

It is not a de Polignac number, because 12401332131111 - 217 = 12401332000039 is a prime.

It is a super-2 number, since 2×124013321311112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401332131151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3084139281 + ... + 3084143301.

It is an arithmetic number, because the mean of its divisors is an integer number (176484085026).

Almost surely, 212401332131111 is an apocalyptic number.

12401332131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12401332131111 is a deficient number, since it is larger than the sum of its proper divisors (8776758072009).

12401332131111 is an equidigital number, since it uses as much as digits as its factorization.

12401332131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 12401332131111 its reverse (11113123310421), we get a palindrome (23514455441532).

The spelling of 12401332131111 in words is "twelve trillion, four hundred one billion, three hundred thirty-two million, one hundred thirty-one thousand, one hundred eleven".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 539 847 1331 1433 1617 2541 3993 4021 4299 5929 9317 10031 12063 14641 15763 17787 27951 28147 30093 43923 44231 47289 65219 70217 84441 102487 110341 132693 173393 195657 197029 210651 307461 309617 331023 486541 520179 591087 717409 772387 928851 1213751 1459623 1907323 2152227 2167319 2317161 3405787 3641253 5351951 5721969 5762093 6501957 8496257 10217361 13351261 16055853 17286279 20980553 23840509 25488771 37463657 40053783 40334651 58871461 62941659 63383023 71521527 93458827 112390971 121003953 146863871 176614383 190149069 262245599 280376481 282342557 412100227 440591613 443681161 697213253 786736797 847027671 1028047097 1236300681 1331043483 2091639759 2884701589 3084141291 3105768127 4880492771 7669345783 8654104767 9317304381 14641478313 23008037349 34163449397 53685420481 84362803613 102490348191 161056261443 253088410839 375797943367 590539625291 1127393830101 1771618875873 4133777377037 12401332131111