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220201212210120 = 23325611670033917
BaseRepresentation
bin110010000100010110010111…
…000010000110101111001000
31001212200000211002100220101200
4302010112113002012233020
5212330234040311210440
62100155012415344200
764245004213034631
oct6204262702065710
91055600732326350
10220201212210120
116418789a727a29
1220844578522060
1395b3b67a6ca7b
143c53b1cd50888
151a6ce139e7c30
hexc84597086bc8

220201212210120 has 48 divisors (see below), whose sum is σ = 715653939684060. Its totient is φ = 58720323255936.

The previous prime is 220201212210107. The next prime is 220201212210121. The reversal of 220201212210120 is 21012212102022.

It is a happy number.

220201212210120 is a `hidden beast` number, since 2 + 20 + 201 + 212 + 210 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214479481233924 + 5721730976196 = 14645118^2 + 2392014^2 .

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 = 220201212210093 and 220201212210102.

It is not an unprimeable number, because it can be changed into a prime (220201212210121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305835016599 + ... + 305835017318.

Almost surely, 2220201212210120 is an apocalyptic number.

220201212210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201212210120 is an abundant number, since it is smaller than the sum of its proper divisors (495452727473940).

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

220201212210120 is a wasteful number, since it uses less digits than its factorization.

220201212210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611670033934 (or 611670033927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220201212210120 its reverse (21012212102022), we get a palindrome (241213424312142).

The spelling of 220201212210120 in words is "two hundred twenty trillion, two hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 611670033917 1223340067834 1835010101751 2446680135668 3058350169585 3670020203502 4893360271336 5505030305253 6116700339170 7340040407004 9175050508755 11010060610506 12233400678340 14680080814008 18350101017510 22020121221012 24466801356680 27525151526265 36700202035020 44040242442024 55050303052530 73400404070040 110100606105060 220201212210120