Search a number
-
+
12202122012 = 223192232941103
BaseRepresentation
bin10110101110100110…
…11001101100011100
31011111101110000121220
423113103121230130
5144442220401022
65334445453340
7611244216513
oct132723315434
934441400556
1012202122012
1151a1863963
122446571250
1311c5cb2952
1483a7d367a
154b639885c
hex2d74d9b1c

12202122012 has 288 divisors, whose sum is σ = 33550433280. Its totient is φ = 3438167040.

The previous prime is 12202121969. The next prime is 12202122019. The reversal of 12202122012 is 21022120221.

It is a junction number, because it is equal to n+sod(n) for n = 12202121982 and 12202122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118467153 + ... + 118467255.

It is an arithmetic number, because the mean of its divisors is an integer number (116494560).

Almost surely, 212202122012 is an apocalyptic number.

12202122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775216640).

12202122012 is an abundant number, since it is smaller than the sum of its proper divisors (21348311268).

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

12202122012 is a wasteful number, since it uses less digits than its factorization.

12202122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12202122012 its reverse (21022120221), we get a palindrome (33224242233).

The spelling of 12202122012 in words is "twelve billion, two hundred two million, one hundred twenty-two thousand, twelve".