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12120311302121 = 11210728749049
BaseRepresentation
bin1011000001011111101011…
…0110011000011111101001
31120220200122100000111112002
42300113322312120133221
53042034344143131441
641435554422500345
72360443420136201
oct260277266303751
946820570014462
1012120311302121
113953216832900
121438bb78946b5
1369bc2c231199
142dc8aa3db401
151604253b8b9b
hexb05fad987e9

12120311302121 has 18 divisors (see below), whose sum is σ = 13447998523050. Its totient is φ = 10915487265760.

The previous prime is 12120311302081. The next prime is 12120311302193.

12120311302121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 10822224781225 + 1298086520896 = 3289715^2 + 1139336^2 .

It is not a de Polignac number, because 12120311302121 - 210 = 12120311301097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12120311302093 and 12120311302102.

It is not an unprimeable number, because it can be changed into a prime (12120311322121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2989196 + ... + 5759853.

Almost surely, 212120311302121 is an apocalyptic number.

12120311302121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120311302121 is a deficient number, since it is larger than the sum of its proper divisors (1327687220929).

12120311302121 is an equidigital number, since it uses as much as digits as its factorization.

12120311302121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749285 (or 8749167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1212031 and 1302121, that added together give a palindrome (2514152).

The spelling of 12120311302121 in words is "twelve trillion, one hundred twenty billion, three hundred eleven million, three hundred two thousand, one hundred twenty-one".

Divisors: 1 11 107 121 1177 11449 12947 125939 1385329 8749049 96239539 936148243 1058634929 10297630673 100167862001 113273937403 1101846482011 12120311302121