Search a number
-
+
12200010300000 = 253255109124363
BaseRepresentation
bin1011000110001000100101…
…0001111011101001100000
31121012022100200202002020100
42301202021101323221200
53044341110114100000
641540335104542400
72366264425345455
oct261421121735140
947168320662210
1012200010300000
113983aa48405a6
12145053a921a00
136a65c0ba7023
143026ab1c182c
1516253c22ba00
hexb188947ba60

12200010300000 has 432 divisors, whose sum is σ = 43762639480560. Its totient is φ = 3223463040000.

The previous prime is 12200010299999. The next prime is 12200010300007. The reversal of 12200010300000 is 301000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200010300007) 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 71 ways as a sum of consecutive naturals, for example, 98037819 + ... + 98162181.

It is an arithmetic number, because the mean of its divisors is an integer number (101302406205).

Almost surely, 212200010300000 is an apocalyptic number.

12200010300000 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 12200010300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881319740280).

12200010300000 is an abundant number, since it is smaller than the sum of its proper divisors (31562629180560).

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

12200010300000 is a wasteful number, since it uses less digits than its factorization.

12200010300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124513 (or 124482 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12200010300000 its reverse (301000221), we get a palindrome (12200311300221).

The spelling of 12200010300000 in words is "twelve trillion, two hundred billion, ten million, three hundred thousand".