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12332131213121 = 6110915722375281
BaseRepresentation
bin1011001101110100110001…
…0011001101111101000001
31121122221101102112212200222
42303131030103031331001
53104022201042304441
642121145230352425
72411652464521136
oct263351423157501
947587342485628
1012332131213121
113a25033632095
12147207195b715
136b5bb82ac625
14308c4221c58d
15165bc1388d4b
hexb374c4cdf41

12332131213121 has 32 divisors (see below), whose sum is σ = 12737961756960. Its totient is φ = 11934530150400.

The previous prime is 12332131213093. The next prime is 12332131213123. The reversal of 12332131213121 is 12131213123321.

It can be written as a sum of positive squares in 16 ways, for example, as 5716617993025 + 6615513220096 = 2390945^2 + 2572064^2 .

It is a cyclic number.

It is not a de Polignac number, because 12332131213121 - 210 = 12332131212097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12332131213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335186001 + ... + 2335191281.

It is an arithmetic number, because the mean of its divisors is an integer number (398061304905).

Almost surely, 212332131213121 is an apocalyptic number.

It is an amenable number.

12332131213121 is a deficient number, since it is larger than the sum of its proper divisors (405830543839).

12332131213121 is a wasteful number, since it uses less digits than its factorization.

12332131213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845.

The product of its digits is 1296, while the sum is 26.

Adding to 12332131213121 its reverse (12131213123321), we get a palindrome (24463344336442).

The spelling of 12332131213121 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 61 109 157 2237 5281 6649 9577 17113 136457 243833 322141 351209 575629 829117 1043893 11813597 14873813 21423749 35113369 38281781 50576137 90373753 720629417 1287682073 1854734729 2335188641 5512798933 78548606453 113138818469 202166085461 12332131213121