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12332132213121 = 34741115290633
BaseRepresentation
bin1011001101110100110001…
…0111000010000110000001
31121122221101111102200110000
42303131030113002012001
53104022201321304441
642121145304030213
72411652506154450
oct263351427020601
947587344380400
1012332132213121
113a25034155436
121472072162369
136b5bb856c846
14308c423dcb97
15165bc14d52b6
hexb374c5c2181

12332132213121 has 40 divisors (see below), whose sum is σ = 21058924223744. Its totient is φ = 7045217196480.

The previous prime is 12332132213113. The next prime is 12332132213123. The reversal of 12332132213121 is 12131223123321.

12332132213121 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 21 + 322 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 12332132213121 - 23 = 12332132213113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12332132213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314380 + ... + 4976253.

Almost surely, 212332132213121 is an apocalyptic number.

It is an amenable number.

12332132213121 is a deficient number, since it is larger than the sum of its proper divisors (8726792010623).

12332132213121 is an equidigital number, since it uses as much as digits as its factorization.

12332132213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294763 (or 5294754 counting only the distinct ones).

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

Adding to 12332132213121 its reverse (12131223123321), we get a palindrome (24463355336442).

The spelling of 12332132213121 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4111 12333 28777 36999 86331 110997 258993 332991 776979 2330937 5290633 15871899 37034431 47615697 111103293 142847091 333309879 428541273 999929637 2999788911 21749792263 65249376789 152248545841 195748130367 456745637523 587244391101 1370236912569 1761733173303 4110710737707 12332132213121