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12010201021020 = 223541149222114753
BaseRepresentation
bin1010111011000101011111…
…0000111111101001011100
31120112011102120002122220210
42232301113300333221130
53033233342430133040
641313224333212420
72346464656163406
oct256612760775134
946464376078823
1012010201021020
113910552409994
12141b7a8031110
13691731c30cb7
142d742270bb76
1515c62d78a480
hexaec57c3fa5c

12010201021020 has 192 divisors, whose sum is σ = 34697937859200. Its totient is φ = 3102026956800.

The previous prime is 12010201020991. The next prime is 12010201021033. The reversal of 12010201021020 is 2012010201021.

It is a super-3 number, since 3×120102010210203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12010201020987 and 12010201021005.

It is a congruent number.

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, 814077964 + ... + 814092716.

It is an arithmetic number, because the mean of its divisors is an integer number (180718426350).

Almost surely, 212010201021020 is an apocalyptic number.

12010201021020 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 12010201021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348968929600).

12010201021020 is an abundant number, since it is smaller than the sum of its proper divisors (22687736838180).

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

12010201021020 is a wasteful number, since it uses less digits than its factorization.

12010201021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010201021020 its reverse (2012010201021), we get a palindrome (14022211222041).

The spelling of 12010201021020 in words is "twelve trillion, ten billion, two hundred one million, twenty-one thousand, twenty".