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12220202111220 = 2232567890011729
BaseRepresentation
bin1011000111010011110011…
…0011100101000011110100
31121021020110220012101000100
42301310330303211003310
53100203433220024340
641553514445314100
72400611000042655
oct261647463450364
947236426171010
1012220202111220
11399161656a194
121454434b65930
136a848b22c90c
14303664b5752c
15162d1ec35830
hexb1d3cce50f4

12220202111220 has 36 divisors (see below), whose sum is σ = 37067946404580. Its totient is φ = 3258720562944.

The previous prime is 12220202111207. The next prime is 12220202111237. The reversal of 12220202111220 is 2211120202221.

It is a happy number.

12220202111220 is a `hidden beast` number, since 12 + 220 + 2 + 0 + 211 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2029154666256 + 10191047444964 = 1424484^2 + 3192342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12220202111193 and 12220202111202.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33945005685 + ... + 33945006044.

It is an arithmetic number, because the mean of its divisors is an integer number (1029665177905).

Almost surely, 212220202111220 is an apocalyptic number.

12220202111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202111220 is an abundant number, since it is smaller than the sum of its proper divisors (24847744293360).

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

12220202111220 is a wasteful number, since it uses less digits than its factorization.

12220202111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67890011744 (or 67890011739 counting only the distinct ones).

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

Adding to 12220202111220 its reverse (2211120202221), we get a palindrome (14431322313441).

The spelling of 12220202111220 in words is "twelve trillion, two hundred twenty billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67890011729 135780023458 203670035187 271560046916 339450058645 407340070374 611010105561 678900117290 814680140748 1018350175935 1222020211122 1357800234580 2036700351870 2444040422244 3055050527805 4073400703740 6110101055610 12220202111220