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12121321122 = 232673406729
BaseRepresentation
bin10110100100111110…
…01010111010100010
31011021202101220122100
423102133022322202
5144311024233442
65322441551230
7606243346431
oct132237127242
934252356570
1012121321122
115160195a69
1224234a5516
1311b2331b81
1482db9d118
154ae23784c
hex2d27caea2

12121321122 has 12 divisors (see below), whose sum is σ = 26262862470. Its totient is φ = 4040440368.

The previous prime is 12121321117. The next prime is 12121321123. The reversal of 12121321122 is 22112312121.

It can be written as a sum of positive squares in only one way, i.e., 10369145241 + 1752175881 = 101829^2 + 41859^2 .

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: 673406729 = 12121321122 / (1 + 2 + 1 + 2 + 1 + 3 + 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 = 12121321095 and 12121321104.

It is not an unprimeable number, because it can be changed into a prime (12121321123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336703347 + ... + 336703382.

Almost surely, 212121321122 is an apocalyptic number.

12121321122 is an abundant number, since it is smaller than the sum of its proper divisors (14141541348).

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

12121321122 is a wasteful number, since it uses less digits than its factorization.

12121321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673406737 (or 673406734 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12121321122 its reverse (22112312121), we get a palindrome (34233633243).

Subtracting 12121321122 from its reverse (22112312121), we obtain a palindrome (9990990999).

The spelling of 12121321122 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 673406729 1346813458 2020220187 4040440374 6060660561 12121321122