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12111112312321 = 1117487132988309
BaseRepresentation
bin1011000000111101011010…
…0011000001011000000001
31120212210220020111101211011
42300033112203001120001
53041412024222443241
641431433532320521
72356666440046021
oct260172643013001
946783806441734
1012111112312321
11394a3261896a0
12143726b013141
1369b0c448b659
142dc2767c7a81
151600879d2281
hexb03d68c1601

12111112312321 has 16 divisors (see below), whose sum is σ = 14018031780480. Its totient is φ = 10341170830080.

The previous prime is 12111112312291. The next prime is 12111112312337. The reversal of 12111112312321 is 12321321111121.

It is a cyclic number.

It is not a de Polignac number, because 12111112312321 - 213 = 12111112304129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111112312292 and 12111112312301.

It is not an unprimeable number, because it can be changed into a prime (12111112312391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66403086 + ... + 66585223.

It is an arithmetic number, because the mean of its divisors is an integer number (876126986280).

Almost surely, 212111112312321 is an apocalyptic number.

12111112312321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111112312321 is a deficient number, since it is larger than the sum of its proper divisors (1906919468159).

12111112312321 is a wasteful number, since it uses less digits than its factorization.

12111112312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132988824.

The product of its digits is 144, while the sum is 22.

Adding to 12111112312321 its reverse (12321321111121), we get a palindrome (24432433423442).

The spelling of 12111112312321 in words is "twelve trillion, one hundred eleven billion, one hundred twelve million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 17 187 487 5357 8279 91069 132988309 1462871399 2260801253 24868813783 64765306483 712418371313 1101010210211 12111112312321