Search a number
-
+
12210003122000 = 245317473494563
BaseRepresentation
bin1011000110101101110011…
…1001100001011101010000
31121020021011010000000222212
42301223130321201131100
53100022041244401000
641545110433451252
72400100155053345
oct261533471413520
947207133000885
1012210003122000
1139882624a2682
121452469410b28
136a7524250258
14302d783d67cc
1516292466cc35
hexb1adce61750

12210003122000 has 80 divisors (see below), whose sum is σ = 29540695708992. Its totient is φ = 4881204201600.

The previous prime is 12210003121961. The next prime is 12210003122003. The reversal of 12210003122000 is 22130001221.

It is a happy number.

12210003122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210003122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1746719 + ... + 5241281.

Almost surely, 212210003122000 is an apocalyptic number.

12210003122000 is a gapful number since it is divisible by the number (10) 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 12210003122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770347854496).

12210003122000 is an abundant number, since it is smaller than the sum of its proper divisors (17330692586992).

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

12210003122000 is a wasteful number, since it uses less digits than its factorization.

12210003122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496333 (or 3496317 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12210003122000 its reverse (22130001221), we get a palindrome (12232133123221).

The spelling of 12210003122000 in words is "twelve trillion, two hundred ten billion, three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1747 2000 3494 6988 8735 13976 17470 27952 34940 43675 69880 87350 139760 174700 218375 349400 436750 698800 873500 1747000 3494000 3494563 6989126 13978252 17472815 27956504 34945630 55913008 69891260 87364075 139782520 174728150 279565040 349456300 436820375 698912600 873640750 1397825200 1747281500 3494563000 6105001561 6989126000 12210003122 24420006244 30525007805 48840012488 61050015610 97680024976 122100031220 152625039025 244200062440 305250078050 488400124880 610500156100 763125195125 1221000312200 1526250390250 2442000624400 3052500780500 6105001561000 12210003122000