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12133120132341 = 3213318123411821
BaseRepresentation
bin1011000010001111011001…
…0100001100010011110101
31120221220201000002111100100
42300203312110030103311
53042242112223213331
641445513424304313
72361406012324425
oct260436624142365
946856630074310
1012133120132341
11395869a0065aa
12143b591472099
136a01c0b1ab70
142dd363602485
15160924b57ae6
hexb08f650c4f5

12133120132341 has 48 divisors (see below), whose sum is σ = 19485018588672. Its totient is φ = 7224772406400.

The previous prime is 12133120132171. The next prime is 12133120132351. The reversal of 12133120132341 is 14323102133121.

12133120132341 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 312 + 0 + 1 + 3 + 2 + 341 = 666.

It is not a de Polignac number, because 12133120132341 - 222 = 12133115938037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133120132351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29256211 + ... + 29668031.

It is an arithmetic number, because the mean of its divisors is an integer number (405937887264).

Almost surely, 212133120132341 is an apocalyptic number.

It is an amenable number.

12133120132341 is a deficient number, since it is larger than the sum of its proper divisors (7351898456331).

12133120132341 is a wasteful number, since it uses less digits than its factorization.

12133120132341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419994 (or 419991 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12133120132341 its reverse (14323102133121), we get a palindrome (26456222265462).

The spelling of 12133120132341 in words is "twelve trillion, one hundred thirty-three billion, one hundred twenty million, one hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 8123 24369 73107 105599 251813 316797 411821 755439 950391 1235463 2266317 3273569 3706389 5353673 9820707 12766451 16061019 29462121 38299353 48183057 114898059 165963863 497891589 1493674767 3345221983 10035665949 30106997847 43487885779 103701881473 130463657337 311105644419 391390972011 933316933257 1348124459149 4044373377447 12133120132341