Search a number
-
+
12011330121120 = 2533511298715989
BaseRepresentation
bin1010111011001001101100…
…0100001010110110100000
31120112021100020200220002000
42232302123010022312200
53033243201002333440
641313532345524000
72346534646316421
oct256623304126640
946467306626060
1012011330121120
113910a8179a570
12141ba621a3600
13691881b30175
142d74cc663648
1515c69796d730
hexaec9b10ada0

12011330121120 has 384 divisors, whose sum is σ = 47442876768000. Its totient is φ = 2811429089280.

The previous prime is 12011330121083. The next prime is 12011330121139. The reversal of 12011330121120 is 2112103311021.

12011330121120 is a `hidden beast` number, since 1 + 20 + 113 + 301 + 211 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12011330121093 and 12011330121102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2979915 + ... + 5736074.

It is an arithmetic number, because the mean of its divisors is an integer number (123549158250).

Almost surely, 212011330121120 is an apocalyptic number.

12011330121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011330121120 is an abundant number, since it is smaller than the sum of its proper divisors (35431546646880).

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

12011330121120 is a wasteful number, since it uses less digits than its factorization.

12011330121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716053 (or 8716039 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011330121120 its reverse (2112103311021), we get a palindrome (14123433432141).

The spelling of 12011330121120 in words is "twelve trillion, eleven billion, three hundred thirty million, one hundred twenty-one thousand, one hundred twenty".