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12010201122020 = 2255345132510609
BaseRepresentation
bin1010111011000101011111…
…0001011000010011100100
31120112011102120021210110112
42232301113301120103210
53033233342441401040
641313224335312152
72346464660064023
oct256612761302344
946464376253415
1012010201122020
113910552478862
12141b7a807b658
13691731c67c6a
142d74227368ba
1515c62d7aa365
hexaec57c584e4

12010201122020 has 48 divisors (see below), whose sum is σ = 25703002548720. Its totient is φ = 4712391131136.

The previous prime is 12010201122011. The next prime is 12010201122053. The reversal of 12010201122020 is 2022110201021.

12010201122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1870854955264 + 10139346166756 = 1367792^2 + 3184234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12010201121986 and 12010201122004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528476 + ... + 6039084.

It is an arithmetic number, because the mean of its divisors is an integer number (535479219765).

Almost surely, 212010201122020 is an apocalyptic number.

12010201122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010201122020 is an abundant number, since it is smaller than the sum of its proper divisors (13692801426700).

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

12010201122020 is a wasteful number, since it uses less digits than its factorization.

12010201122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515184 (or 2515182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12010201122020 its reverse (2022110201021), we get a palindrome (14032311323041).

The spelling of 12010201122020 in words is "twelve trillion, ten billion, two hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 4513 9026 18052 22565 45130 90260 239189 478378 956756 1195945 2391890 2510609 4783780 5021218 10042436 12553045 25106090 50212180 133062277 266124554 532249108 665311385 1330622770 2661245540 11330378417 22660756834 45321513668 56651892085 113303784170 226607568340 600510056101 1201020112202 2402040224404 3002550280505 6005100561010 12010201122020