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12112231122 = 232672901729
BaseRepresentation
bin10110100011111000…
…11111101011010010
31011021010022002111200
423101330133223102
5144301212343442
65321515052030
7606103160115
oct132174375322
934233262450
1012112231122
115156047572
122420441016
1311b049b584
1482c8b457c
154ad53e34c
hex2d1f1fad2

12112231122 has 12 divisors (see below), whose sum is σ = 26243167470. Its totient is φ = 4037410368.

The previous prime is 12112231091. The next prime is 12112231141. The reversal of 12112231122 is 22113221121.

It can be written as a sum of positive squares in only one way, i.e., 10371589281 + 1740641841 = 101841^2 + 41721^2 .

It is a super-2 number, since 2×121122311222 (a number of 21 digits) contains 22 as substring.

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: 672901729 = 12112231122 / (1 + 2 + 1 + 1 + 2 + 2 + 3 + 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 = 12112231095 and 12112231104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336450847 + ... + 336450882.

Almost surely, 212112231122 is an apocalyptic number.

12112231122 is an abundant number, since it is smaller than the sum of its proper divisors (14130936348).

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

12112231122 is a wasteful number, since it uses less digits than its factorization.

12112231122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672901737 (or 672901734 counting only the distinct ones).

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

Adding to 12112231122 its reverse (22113221121), we get a palindrome (34225452243).

The spelling of 12112231122 in words is "twelve billion, one hundred twelve million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 672901729 1345803458 2018705187 4037410374 6056115561 12112231122