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12201011022020 = 2253301184807801
BaseRepresentation
bin1011000110001100010011…
…1011011000100011000100
31121012101221102210000202212
42301203010323120203010
53044400132310201040
641541022253522552
72366331266344412
oct261430473304304
947171842700685
1012201011022020
113984468707897
121450779aa3458
136a6720307a32
1430276407a2b2
1516259a001d65
hexb18c4ed88c4

12201011022020 has 24 divisors (see below), whose sum is σ = 25629885212568. Its totient is φ = 4878925920000.

The previous prime is 12201011021989. The next prime is 12201011022023. The reversal of 12201011022020 is 2022011010221.

It can be written as a sum of positive squares in 4 ways, for example, as 1363957708996 + 10837053313024 = 1167886^2 + 3291968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12201011021986 and 12201011022004.

It is not an unprimeable number, because it can be changed into a prime (12201011022023) 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 7 ways as a sum of consecutive naturals, for example, 92337881 + ... + 92469920.

It is an arithmetic number, because the mean of its divisors is an integer number (1067911883857).

Almost surely, 212201011022020 is an apocalyptic number.

12201011022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201011022020 is an abundant number, since it is smaller than the sum of its proper divisors (13428874190548).

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

12201011022020 is a wasteful number, since it uses less digits than its factorization.

12201011022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184811111 (or 184811109 counting only the distinct ones).

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

Adding to 12201011022020 its reverse (2022011010221), we get a palindrome (14223022032241).

The spelling of 12201011022020 in words is "twelve trillion, two hundred one billion, eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 3301 6602 13204 16505 33010 66020 184807801 369615602 739231204 924039005 1848078010 3696156020 610050551101 1220101102202 2440202204404 3050252755505 6100505511010 12201011022020