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12222121122 = 232679006729
BaseRepresentation
bin10110110000111111…
…01100010010100010
31011112210002002020200
423120133230102202
5200012330333442
65340442250030
7611606213121
oct133037542242
934483062220
1012222121122
115202083552
1224511b6916
1311ca195843
1483d31bab8
154b7ee934c
hex2d87ec4a2

12222121122 has 12 divisors (see below), whose sum is σ = 26481262470. Its totient is φ = 4074040368.

The previous prime is 12222121103. The next prime is 12222121147. The reversal of 12222121122 is 22112122221.

It is a happy number.

12222121122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7092839961 + 5129281161 = 84219^2 + 71619^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 679006729 = 12222121122 / (1 + 2 + 2 + 2 + 2 + 1 + 2 + 1 + 1 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12222121095 and 12222121104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 339503347 + ... + 339503382.

Almost surely, 212222121122 is an apocalyptic number.

12222121122 is an abundant number, since it is smaller than the sum of its proper divisors (14259141348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12222121122 is a wasteful number, since it uses less digits than its factorization.

12222121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679006737 (or 679006734 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12222121122 its reverse (22112122221), we get a palindrome (34334243343).

The spelling of 12222121122 in words is "twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 679006729 1358013458 2037020187 4074040374 6111060561 12222121122