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221212210011220 = 225105108110523081
BaseRepresentation
bin110010010011000011111011…
…001100101001110001010100
31002000020200101021002111210101
4302103003323030221301110
5212443320101230324340
62102251253015103444
764411024532411011
oct6223037314516124
91060220337074711
10221212210011220
116453763161963a
12209884a9671b84
1396582b667310c
143c8aa29c54708
151a89385a16c9a
hexc930fb329c54

221212210011220 has 24 divisors (see below), whose sum is σ = 464546127138408. Its totient is φ = 88484791411200.

The previous prime is 221212210011209. The next prime is 221212210011227. The reversal of 221212210011220 is 22110012212122.

It can be written as a sum of positive squares in 4 ways, for example, as 7890177630916 + 213322032380304 = 2808946^2 + 14605548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212210011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15760080 + ... + 26283160.

It is an arithmetic number, because the mean of its divisors is an integer number (19356088630767).

Almost surely, 2221212210011220 is an apocalyptic number.

221212210011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212210011220 is an abundant number, since it is smaller than the sum of its proper divisors (243333917127188).

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

221212210011220 is a wasteful number, since it uses less digits than its factorization.

221212210011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574171 (or 11574169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221212210011220 its reverse (22110012212122), we get a palindrome (243322222223342).

The spelling of 221212210011220 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1051081 2102162 4204324 5255405 10510810 10523081 21021620 21046162 42092324 52615405 105230810 210461620 11060610500561 22121221001122 44242442002244 55303052502805 110606105005610 221212210011220