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122201202202020 = 22325803984450251
BaseRepresentation
bin11011110010010000101111…
…001111111001010110100100
3121000200022122220001202112200
4123302100233033321112210
5112004121030230431040
61111522242435214500
734511513465165334
oct3362205717712644
9530608586052480
10122201202202020
1135a34269956387
12118574b3447430
1353256a7095a46
1422267d95450c4
15e1db013ca630
hex6f242f3f95a4

122201202202020 has 72 divisors (see below), whose sum is σ = 370723094239680. Its totient is φ = 32582933256000.

The previous prime is 122201202201979. The next prime is 122201202202033. The reversal of 122201202202020 is 20202202102221.

122201202202020 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 20 + 220 + 202 + 0 = 666.

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 = 122201202201984 and 122201202202002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40778106 + ... + 43672145.

It is an arithmetic number, because the mean of its divisors is an integer number (5148931864440).

Almost surely, 2122201202202020 is an apocalyptic number.

122201202202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201202202020 is an abundant number, since it is smaller than the sum of its proper divisors (248521892037660).

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

122201202202020 is a wasteful number, since it uses less digits than its factorization.

122201202202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84458305 (or 84458300 counting only the distinct ones).

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

Adding to 122201202202020 its reverse (20202202102221), we get a palindrome (142403404304241).

The spelling of 122201202202020 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8039 16078 24117 32156 40195 48234 72351 80390 96468 120585 144702 160780 241170 289404 361755 482340 723510 1447020 84450251 168900502 253350753 337801004 422251255 506701506 760052259 844502510 1013403012 1266753765 1520104518 1689005020 2533507530 3040209036 3800261295 5067015060 7600522590 15201045180 678895567789 1357791135578 2036686703367 2715582271156 3394477838945 4073373406734 6110060110101 6788955677890 8146746813468 10183433516835 12220120220202 13577911355780 20366867033670 24440240440404 30550300550505 40733734067340 61100601101010 122201202202020