Search a number
-
+
12102321012 = 223173197109181
BaseRepresentation
bin10110100010101101…
…01100001101110100
31011020102122121101120
423101112230031310
5144241143233022
65320522423540
7605623013505
oct132126541564
934212577346
1012102321012
1151504989a1
122419061bb0
1311ab40b8c2
1482b454bac
154ac732d5c
hex2d15ac374

12102321012 has 192 divisors, whose sum is σ = 31642490880. Its totient is φ = 3583180800.

The previous prime is 12102320969. The next prime is 12102321013. The reversal of 12102321012 is 21012320121.

12102321012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12102320982 and 12102321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102321013) 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 63 ways as a sum of consecutive naturals, for example, 66863562 + ... + 66863742.

It is an arithmetic number, because the mean of its divisors is an integer number (164804640).

Almost surely, 212102321012 is an apocalyptic number.

12102321012 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 12102321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821245440).

12102321012 is an abundant number, since it is smaller than the sum of its proper divisors (19540169868).

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

12102321012 is a wasteful number, since it uses less digits than its factorization.

12102321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12102321012 its reverse (21012320121), we get a palindrome (33114641133).

The spelling of 12102321012 in words is "twelve billion, one hundred two million, three hundred twenty-one thousand, twelve".