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12220022122020 = 2232567889011789
BaseRepresentation
bin1011000111010011001000…
…0100111110011000100100
31121021020000100111222020200
42301310302010332120210
53100203101130401040
641553444535430500
72400603353131056
oct261646204763044
947236010458220
1012220022122020
113991533a04689
1214543a4825430
136a845cb6092b
14303648ca38d6
15162d0e030630
hexb1d3213e624

12220022122020 has 36 divisors (see below), whose sum is σ = 37067400437340. Its totient is φ = 3258672565824.

The previous prime is 12220022121961. The next prime is 12220022122043. The reversal of 12220022122020 is 2022122002221.

12220022122020 is a `hidden beast` number, since 1 + 2 + 2 + 200 + 221 + 220 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5269448798784 + 6950573323236 = 2295528^2 + 2636394^2 .

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 = 12220022121984 and 12220022122002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33944505715 + ... + 33944506074.

Almost surely, 212220022122020 is an apocalyptic number.

12220022122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220022122020 is an abundant number, since it is smaller than the sum of its proper divisors (24847378315320).

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

12220022122020 is a wasteful number, since it uses less digits than its factorization.

12220022122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67889011804 (or 67889011799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220022122020 its reverse (2022122002221), we get a palindrome (14242144124241).

The spelling of 12220022122020 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67889011789 135778023578 203667035367 271556047156 339445058945 407334070734 611001106101 678890117890 814668141468 1018335176835 1222002212202 1357780235780 2036670353670 2444004424404 3055005530505 4073340707340 6110011061010 12220022122020