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12199122 = 23213371409
BaseRepresentation
bin101110100010…
…010011010010
3211221210001100
4232202103102
511110332442
61113245230
7205455645
oct56422322
924853040
1012199122
116982421
124103816
1326b1820
141897a5c
15110e84c
hexba24d2

12199122 has 48 divisors (see below), whose sum is σ = 29254680. Its totient is φ = 3649536.

The previous prime is 12199097. The next prime is 12199133. The reversal of 12199122 is 22199121.

It can be written as a sum of positive squares in 4 ways, for example, as 7177041 + 5022081 = 2679^2 + 2241^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7954 + ... + 9362.

Almost surely, 212199122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12199122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627340).

12199122 is an abundant number, since it is smaller than the sum of its proper divisors (17055558).

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

12199122 is a wasteful number, since it uses less digits than its factorization.

12199122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 12199122 is about 3492.7241517188. The cubic root of 12199122 is about 230.2022291937.

Subtracting 12199122 from its reverse (22199121), we obtain a palindrome (9999999).

It can be divided in two parts, 12199 and 122, that added together give a palindrome (12321).

The spelling of 12199122 in words is "twelve million, one hundred ninety-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1409 1443 2818 2886 4227 4329 8454 8658 12681 18317 25362 36634 52133 54951 104266 109902 156399 164853 312798 329706 469197 677729 938394 1355458 2033187 4066374 6099561 12199122