Search a number
-
+
11222220121200 = 243252111731638089
BaseRepresentation
bin1010001101001110000001…
…1100011010010001110000
31110201211111211000110210200
42203103200130122101300
52432331101322334300
635511230003555200
72235531035065644
oct243234034322160
943654454013720
1011222220121200
113637353772040
121312b3698bb00
13635335075b2a
142ab230736c24
15146db073d200
hexa34e071a470

11222220121200 has 360 divisors, whose sum is σ = 42730206676560. Its totient is φ = 2704810905600.

The previous prime is 11222220121193. The next prime is 11222220121213. The reversal of 11222220121200 is 212102222211.

It is a happy number.

11222220121200 is a `hidden beast` number, since 1 + 1 + 222 + 220 + 1 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×112222201212002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6031756 + ... + 7669844.

It is an arithmetic number, because the mean of its divisors is an integer number (118695018546).

Almost surely, 211222220121200 is an apocalyptic number.

11222220121200 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 11222220121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21365103338280).

11222220121200 is an abundant number, since it is smaller than the sum of its proper divisors (31507986555360).

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

11222220121200 is a wasteful number, since it uses less digits than its factorization.

11222220121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638297 (or 1638283 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11222220121200 its reverse (212102222211), we get a palindrome (11434322343411).

The spelling of 11222220121200 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".