Search a number
-
+
12010243300000 = 255511171016359
BaseRepresentation
bin1010111011000101101001…
…0010010001101010100000
31120112011112111122122202221
42232301122102101222200
53033233434241100000
641313232443320424
72346466011432631
oct256613222215240
946464474578687
1012010243300000
1139105742667a0
12141b7ba220114
1369173a914c4a
142d7428195888
1515c63233c61a
hexaec5a491aa0

12010243300000 has 576 divisors, whose sum is σ = 34481315554560. Its totient is φ = 4069120000000.

The previous prime is 12010243299997. The next prime is 12010243300007. The reversal of 12010243300000 is 334201021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12010243300007) 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, 1888696821 + ... + 1888703179.

It is an arithmetic number, because the mean of its divisors is an integer number (59863395060).

Almost surely, 212010243300000 is an apocalyptic number.

12010243300000 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 12010243300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240657777280).

12010243300000 is an abundant number, since it is smaller than the sum of its proper divisors (22471072254560).

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

12010243300000 is a wasteful number, since it uses less digits than its factorization.

12010243300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12010243300000 its reverse (334201021), we get a palindrome (12010577501021).

The spelling of 12010243300000 in words is "twelve trillion, ten billion, two hundred forty-three million, three hundred thousand".