Search a number
-
+
11221120200000 = 26355101185167
BaseRepresentation
bin1010001101001001111011…
…1000100010110101000000
31110201201200011022200120110
42203102132320202311000
52432321323232400000
635510524512511320
72235461550651414
oct243223670426500
943651604280513
1011221120200000
113636939900a57
12131288a54b540
136351bb221c99
142ab168618d44
15146d48dc0850
hexa349ee22d40

11221120200000 has 336 divisors, whose sum is σ = 37476761833728. Its totient is φ = 2962656000000.

The previous prime is 11221120199999. The next prime is 11221120200133. The reversal of 11221120200000 is 202112211.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60507417 + ... + 60692583.

It is an arithmetic number, because the mean of its divisors is an integer number (111537981648).

Almost surely, 211221120200000 is an apocalyptic number.

11221120200000 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 11221120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738380916864).

11221120200000 is an abundant number, since it is smaller than the sum of its proper divisors (26255641633728).

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

11221120200000 is an equidigital number, since it uses as much as digits as its factorization.

11221120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185308 (or 185278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221120200000 its reverse (202112211), we get a palindrome (11221322312211).

The spelling of 11221120200000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty million, two hundred thousand".