Search a number
-
+
12201020000000 = 285713167281
BaseRepresentation
bin1011000110001100010101…
…1101101000011100000000
31121012101222001200011020122
42301203011131220130000
53044400142110000000
641541023214155412
72366331435556316
oct261430535503400
947171861604218
1012201020000000
11398447278a107
121450780ab2b68
136a672212c350
143027653360b6
1516259abc7085
hexb18c5768700

12201020000000 has 576 divisors, whose sum is σ = 33098343393024. Its totient is φ = 4462080000000.

The previous prime is 12201019999963. The next prime is 12201020000003. The reversal of 12201020000000 is 2010221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201020000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43419999860 + ... + 43420000140.

It is an arithmetic number, because the mean of its divisors is an integer number (57462401724).

Almost surely, 212201020000000 is an apocalyptic number.

12201020000000 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 12201020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549171696512).

12201020000000 is an abundant number, since it is smaller than the sum of its proper divisors (20897323393024).

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

12201020000000 is an frugal number, since it uses more digits than its factorization.

12201020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 468 counting only the distinct ones).

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

Adding to 12201020000000 its reverse (2010221), we get a palindrome (12201022010221).

The spelling of 12201020000000 in words is "twelve trillion, two hundred one billion, twenty million", and thus it is an aban number.