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12011231020000 = 255429109313607
BaseRepresentation
bin1010111011001001010100…
…1010001000001111100000
31120112021002100020000220011
42232302111022020033200
53033243000120120000
641313514445454304
72346532334060032
oct256622512101740
946467070200804
1012011231020000
113910a30862413
12141ba34b71394
13691867442854
142d74bd427c52
1515c68dde52ba
hexaec952883e0

12011231020000 has 480 divisors, whose sum is σ = 30998362348800. Its totient is φ = 4574029824000.

The previous prime is 12011231019989. The next prime is 12011231020007. The reversal of 12011231020000 is 2013211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011231020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19787859697 + ... + 19787860303.

It is an arithmetic number, because the mean of its divisors is an integer number (64579921560).

Almost surely, 212011231020000 is an apocalyptic number.

12011231020000 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 12011231020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499181174400).

12011231020000 is an abundant number, since it is smaller than the sum of its proper divisors (18987131328800).

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

12011231020000 is a wasteful number, since it uses less digits than its factorization.

12011231020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12011231020000 its reverse (2013211021), we get a palindrome (12013244231021).

The spelling of 12011231020000 in words is "twelve trillion, eleven billion, two hundred thirty-one million, twenty thousand".