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12031013111121 = 327452117938289
BaseRepresentation
bin1010111100010011000001…
…0000110100010101010001
31120121011010222201101100200
42233010300100310111101
53034104003324023441
641330545432405413
72351132502060054
oct257046020642521
946534128641320
1012031013111121
113919362287254
121423835b46869
1369369a932804
142d84387c8a9b
1515ce4a96a7b6
hexaf130434551

12031013111121 has 12 divisors (see below), whose sum is σ = 17378364215940. Its totient is φ = 8020567330560.

The previous prime is 12031013111111. The next prime is 12031013111141. The reversal of 12031013111121 is 12111131013021.

12031013111121 is a `hidden beast` number, since 1 + 20 + 310 + 1 + 311 + 1 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7762553810496 + 4268459300625 = 2786136^2 + 2066025^2 .

It is not a de Polignac number, because 12031013111121 - 219 = 12031012586833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12031013111094 and 12031013111103.

It is not an unprimeable number, because it can be changed into a prime (12031013111111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8298456 + ... + 9639833.

It is an arithmetic number, because the mean of its divisors is an integer number (1448197017995).

Almost surely, 212031013111121 is an apocalyptic number.

It is an amenable number.

12031013111121 is a deficient number, since it is larger than the sum of its proper divisors (5347351104819).

12031013111121 is a wasteful number, since it uses less digits than its factorization.

12031013111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18012816 (or 18012813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12031013111121 its reverse (12111131013021), we get a palindrome (24142144124142).

The spelling of 12031013111121 in words is "twelve trillion, thirty-one billion, thirteen million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 74521 223563 670689 17938289 53814867 161444601 1336779234569 4010337703707 12031013111121