Search a number
-
+
12232212212000 = 2553111012752523
BaseRepresentation
bin1011001000000000100010…
…1010011110100100100000
31121022101110220022201000202
42302000020222132210200
53100403032311241000
642003222315404332
72401514423156024
oct262001052364440
947271426281022
1012232212212000
11399671999a710
1214568271536a8
136a96534bcb21
14304083c44384
151632c42eddd5
hexb2008a9e920

12232212212000 has 192 divisors, whose sum is σ = 33111410387328. Its totient is φ = 4404035200000.

The previous prime is 12232212211951. The next prime is 12232212212083. The reversal of 12232212212000 is 21221223221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067739 + ... + 5820261.

It is an arithmetic number, because the mean of its divisors is an integer number (172455262434).

Almost surely, 212232212212000 is an apocalyptic number.

12232212212000 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 12232212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555705193664).

12232212212000 is an abundant number, since it is smaller than the sum of its proper divisors (20879198175328).

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

12232212212000 is a wasteful number, since it uses less digits than its factorization.

12232212212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752660 (or 2752642 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12232212212000 its reverse (21221223221), we get a palindrome (12253433435221).

It can be divided in two parts, 1223221221 and 2000, that added together give a palindrome (1223223221).

The spelling of 12232212212000 in words is "twelve trillion, two hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand".