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12012001131104 = 2513412473284783
BaseRepresentation
bin1010111011001100001100…
…0011110111101001100000
31120112100002000022201201122
42232303003003313221200
53033301034242143404
641314123115551412
72346560404646642
oct256630303675140
946470060281648
1012012001131104
113911296539277
12142000aa5b568
1369195ab5c1b0
142d7553812892
1515c6d68163be
hexaecc30f7a60

12012001131104 has 96 divisors (see below), whose sum is σ = 26099558239104. Its totient is φ = 5406574878720.

The previous prime is 12012001131083. The next prime is 12012001131121. The reversal of 12012001131104 is 40113110021021.

12012001131104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42037097 + ... + 42321879.

It is an arithmetic number, because the mean of its divisors is an integer number (271870398324).

Almost surely, 212012001131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012001131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049779119552).

12012001131104 is an abundant number, since it is smaller than the sum of its proper divisors (14087557108000).

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

12012001131104 is a wasteful number, since it uses less digits than its factorization.

12012001131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287320 (or 287312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12012001131104 its reverse (40113110021021), we get a palindrome (52125111152125).

The spelling of 12012001131104 in words is "twelve trillion, twelve billion, one million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 2473 4264 4946 8528 9892 17056 19784 32149 39568 64298 79136 101393 128596 202786 257192 284783 405572 514384 569566 811144 1028768 1139132 1318109 1622288 2278264 2636218 3244576 3702179 4556528 5272436 7404358 9113056 10544872 11676103 14808716 21089744 23352206 29617432 42179488 46704412 59234864 93408824 118469728 151789339 186817648 303578678 373635296 607157356 704268359 1214314712 1408536718 2428629424 2817073436 4857258848 5634146872 9155488667 11268293744 18310977334 22536587488 28875002719 36621954668 57750005438 73243909336 115500010876 146487818672 231000021752 292975637344 375375035347 462000043504 750750070694 924000087008 1501500141388 3003000282776 6006000565552 12012001131104