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12011330121300 = 223252671877106123
BaseRepresentation
bin1010111011001001101100…
…0100001010111001010100
31120112021100020200220022200
42232302123010022321110
53033243201002340200
641313532345524500
72346534646320066
oct256623304127124
946467306626280
1012011330121300
113910a8179a714
12141ba621a3730
13691881b30283
142d74cc663736
1515c69796d800
hexaec9b10ae54

12011330121300 has 216 divisors, whose sum is σ = 38231487674016. Its totient is φ = 3153504372480.

The previous prime is 12011330121281. The next prime is 12011330121311. The reversal of 12011330121300 is 312103311021.

12011330121300 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 330 + 1 + 21 + 300 = 666.

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, 113130039 + ... + 113236161.

Almost surely, 212011330121300 is an apocalyptic number.

12011330121300 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 12011330121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115743837008).

12011330121300 is an abundant number, since it is smaller than the sum of its proper divisors (26220157552716).

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

12011330121300 is a wasteful number, since it uses less digits than its factorization.

12011330121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108087 (or 108077 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12011330121300 its reverse (312103311021), we get a palindrome (12323433432321).

The spelling of 12011330121300 in words is "twelve trillion, eleven billion, three hundred thirty million, one hundred twenty-one thousand, three hundred".