Search a number
-
+
12202220112 = 243254212919
BaseRepresentation
bin10110101110100111…
…10001101001010000
31011111101122000012020
423113103301221100
5144442232020422
65334451531440
7611245105515
oct132723615120
934441560166
1012202220112
1151a1920635
1224465b9b80
1311c60184b4
1483a81b30c
154b63b795c
hex2d74f1a50

12202220112 has 20 divisors (see below), whose sum is σ = 31522402080. Its totient is φ = 4067406688.

The previous prime is 12202220099. The next prime is 12202220113. The reversal of 12202220112 is 21102220221.

12202220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122022201123 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12202220091 and 12202220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127106412 + ... + 127106507.

It is an arithmetic number, because the mean of its divisors is an integer number (1576120104).

Almost surely, 212202220112 is an apocalyptic number.

12202220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12202220112 is an abundant number, since it is smaller than the sum of its proper divisors (19320181968).

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

12202220112 is a wasteful number, since it uses less digits than its factorization.

12202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254212930 (or 254212924 counting only the distinct ones).

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

Adding to 12202220112 its reverse (21102220221), we get a palindrome (33304440333).

The spelling of 12202220112 in words is "twelve billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 254212919 508425838 762638757 1016851676 1525277514 2033703352 3050555028 4067406704 6101110056 12202220112