Search a number
-
+
12232222200000 = 263255113759283
BaseRepresentation
bin1011001000000000100101…
…0000100101000011000000
31121022101111121010010222200
42302000021100211003000
53100403042340400000
642003223313433200
72401514604105405
oct262001120450300
947271447103880
1012232222200000
1139967245a1860
12145682a56b800
136a96555a909a
143040852c42ac
151632c5123500
hexb20094250c0

12232222200000 has 2016 divisors, whose sum is σ = 50108770333440. Its totient is φ = 2826316800000.

The previous prime is 12232222199957. The next prime is 12232222200017. The reversal of 12232222200000 is 222223221.

12232222200000 is a `hidden beast` number, since 1 + 223 + 222 + 220 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43223399859 + ... + 43223400141.

It is an arithmetic number, because the mean of its divisors is an integer number (24855540840).

Almost surely, 212232222200000 is an apocalyptic number.

12232222200000 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 12232222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25054385166720).

12232222200000 is an abundant number, since it is smaller than the sum of its proper divisors (37876548133440).

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

12232222200000 is a wasteful number, since it uses less digits than its factorization.

12232222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12232222200000 its reverse (222223221), we get a palindrome (12232444423221).

It can be divided in two parts, 122322 and 22200000, that added together give a palindrome (22322322).

The spelling of 12232222200000 in words is "twelve trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred thousand".