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12220210221220 = 2251811413373121
BaseRepresentation
bin1011000111010011110101…
…0010100001000010100100
31121021020111110110101211201
42301310331102201002210
53100203442304034340
641553515335212244
72400611126011201
oct261647522410244
947236443411751
1012220210221220
1139916200a9371
121454437817084
136a848cb0c131
14303665c68ca8
15162d207d879a
hexb1d3d4a10a4

12220210221220 has 24 divisors (see below), whose sum is σ = 25662590743608. Its totient is φ = 4888055654400.

The previous prime is 12220210221203. The next prime is 12220210221221. The reversal of 12220210221220 is 2212201202221.

It can be written as a sum of positive squares in 4 ways, for example, as 766804954276 + 11453405266944 = 875674^2 + 3384288^2 .

It is a super-2 number, since 2×122202102212202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220210221221) 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, 1936260 + ... + 5309380.

It is an arithmetic number, because the mean of its divisors is an integer number (1069274614317).

Almost surely, 212220210221220 is an apocalyptic number.

12220210221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220210221220 is an abundant number, since it is smaller than the sum of its proper divisors (13442380522388).

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

12220210221220 is a wasteful number, since it uses less digits than its factorization.

12220210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554271 (or 3554269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12220210221220 its reverse (2212201202221), we get a palindrome (14432411423441).

The spelling of 12220210221220 in words is "twelve trillion, two hundred twenty billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181141 362282 724564 905705 1811410 3373121 3622820 6746242 13492484 16865605 33731210 67462420 611010511061 1222021022122 2444042044244 3055052555305 6110105110610 12220210221220