Search a number
-
+
12212111000 = 235312212111
BaseRepresentation
bin10110101111110011…
…00000011010011000
31011112002020111221102
423113321200122120
5200002300023000
65335443530532
7611425142105
oct132771403230
934462214842
1012212111000
1151a7466821
122449989a48
1311c809c4ab
1483bc73aac
154b71bd3d5
hex2d7e60698

12212111000 has 32 divisors (see below), whose sum is σ = 28576342080. Its totient is φ = 4884844000.

The previous prime is 12212110997. The next prime is 12212111039. The reversal of 12212111000 is 11121221.

12212111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6105056 + ... + 6107055.

It is an arithmetic number, because the mean of its divisors is an integer number (893010690).

Almost surely, 212212111000 is an apocalyptic number.

12212111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212111000 is an abundant number, since it is smaller than the sum of its proper divisors (16364231080).

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

12212111000 is a wasteful number, since it uses less digits than its factorization.

12212111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212132 (or 12212118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12212111000 its reverse (11121221), we get a palindrome (12223232221).

The spelling of 12212111000 in words is "twelve billion, two hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12212111 24424222 48848444 61060555 97696888 122121110 244242220 305302775 488484440 610605550 1221211100 1526513875 2442422200 3053027750 6106055500 12212111000