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12112122 = 23112379101
BaseRepresentation
bin101110001101…
…000011111010
3211210100201010
4232031003322
511100041442
61111334350
7204644211
oct56150372
924710633
1012112122
116923020
1240813b6
132681049
141874078
1510e3b9c
hexb8d0fa

12112122 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 3432000.

The previous prime is 12112069. The next prime is 12112127. The reversal of 12112122 is 22121121.

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 = 12112098 and 12112107.

It is not an unprimeable number, because it can be changed into a prime (12112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119872 + ... + 119972.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 212112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

12112122 is an abundant number, since it is smaller than the sum of its proper divisors (16088838).

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

12112122 is a wasteful number, since it uses less digits than its factorization.

12112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its digits is 16, while the sum is 12.

The square root of 12112122 is about 3480.2474049987. The cubic root of 12112122 is about 229.6536816978.

Adding to 12112122 its reverse (22121121), we get a palindrome (34233243).

It can be divided in two parts, 121121 and 22, that multiplied together give a palindrome (2664662).

The spelling of 12112122 in words is "twelve million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 101 138 158 202 237 253 303 474 506 606 759 869 1111 1518 1738 1817 2222 2323 2607 3333 3634 4646 5214 5451 6666 6969 7979 10902 13938 15958 19987 23937 25553 39974 47874 51106 59961 76659 87769 119922 153318 175538 183517 263307 367034 526614 550551 1101102 2018687 4037374 6056061 12112122