Search a number
-
+
12230201100000 = 253551361101509
BaseRepresentation
bin1011000111111001000011…
…0010101100011011100000
31121022012021202001122000010
42301332100302230123200
53100334422440200000
642002250554324520
72401413533043522
oct261762062543340
947265252048003
1012230201100000
113995887753484
121456365729740
136a93c2954a20
14303d32ad5a12
15163207993d50
hexb1f90cac6e0

12230201100000 has 1152 divisors, whose sum is σ = 44444994088320. Its totient is φ = 2926080000000.

The previous prime is 12230201099981. The next prime is 12230201100017. The reversal of 12230201100000 is 110203221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24027899746 + ... + 24027900254.

It is an arithmetic number, because the mean of its divisors is an integer number (38580724035).

Almost surely, 212230201100000 is an apocalyptic number.

12230201100000 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 12230201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222497044160).

12230201100000 is an abundant number, since it is smaller than the sum of its proper divisors (32214792988320).

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

12230201100000 is a wasteful number, since it uses less digits than its factorization.

12230201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12230201100000 its reverse (110203221), we get a palindrome (12230311303221).

The spelling of 12230201100000 in words is "twelve trillion, two hundred thirty billion, two hundred one million, one hundred thousand".