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12033122130021 = 323982143974649
BaseRepresentation
bin1010111100011010110111…
…1110000101100001100101
31120121100120222012122101210
42233012231332011201211
53034122313231130041
641331535012142033
72351235661326156
oct257065576054145
946540528178353
1012033122130021
11391a244815383
121424124307919
1369394585a7a5
142d859894192d
1515d020bb5016
hexaf1adf85865

12033122130021 has 32 divisors (see below), whose sum is σ = 16138056384000. Its totient is φ = 7975255554560.

The previous prime is 12033122130013. The next prime is 12033122130067. The reversal of 12033122130021 is 12003122133021.

It is a cyclic number.

It is not a de Polignac number, because 12033122130021 - 23 = 12033122130013 is a prime.

It is a super-3 number, since 3×120331221300213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12033122130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033122137021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588322505 + ... + 2588327153.

It is an arithmetic number, because the mean of its divisors is an integer number (504314262000).

Almost surely, 212033122130021 is an apocalyptic number.

It is an amenable number.

12033122130021 is a deficient number, since it is larger than the sum of its proper divisors (4104934253979).

12033122130021 is a wasteful number, since it uses less digits than its factorization.

12033122130021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10109.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12033122130021 its reverse (12003122133021), we get a palindrome (24036244263042).

It can be divided in two parts, 1203312 and 2130021, that added together give a palindrome (3333333).

The spelling of 12033122130021 in words is "twelve trillion, thirty-three billion, one hundred twenty-two million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 239 717 821 2463 4397 4649 13191 13947 196219 588657 1050883 1111111 3152649 3333333 3609937 3816829 10829811 11450487 20441653 61324959 862774943 912222131 2588324829 2736666393 4885555067 14656665201 16782597113 50347791339 4011040710007 12033122130021