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12011330210220 = 223351124125117863
BaseRepresentation
bin1010111011001001101100…
…0100100000100110101100
31120112021100020212102022000
42232302123010200212230
53033243201013211340
641313532351452300
72346534650140245
oct256623304404654
946467306772260
1012011330210220
113910a81850500
12141ba62227090
13691881b618a3
142d74cc687ccc
1515c697989d30
hexaec9b1209ac

12011330210220 has 576 divisors, whose sum is σ = 42246376381440. Its totient is φ = 2829340800000.

The previous prime is 12011330210189. The next prime is 12011330210263. The reversal of 12011330210220 is 2201203311021.

12011330210220 is a `hidden beast` number, since 1 + 20 + 113 + 302 + 10 + 220 = 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 = 12011330210193 and 12011330210202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 672405009 + ... + 672422871.

It is an arithmetic number, because the mean of its divisors is an integer number (73344403440).

Almost surely, 212011330210220 is an apocalyptic number.

12011330210220 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 12011330210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123188190720).

12011330210220 is an abundant number, since it is smaller than the sum of its proper divisors (30235046171220).

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

12011330210220 is a wasteful number, since it uses less digits than its factorization.

12011330210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18195 (or 18176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12011330210220 its reverse (2201203311021), we get a palindrome (14212533521241).

The spelling of 12011330210220 in words is "twelve trillion, eleven billion, three hundred thirty million, two hundred ten thousand, two hundred twenty".