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122201121112020 = 2232514273167150221
BaseRepresentation
bin11011110010010000101010…
…011010100011111111010100
3121000200022110020110221222100
4123302100222122203333110
5112004120344001041040
61111522230421202100
734511511462012336
oct3362205232437724
9530608406427870
10122201121112020
1135a34228100255
1211857490260330
1353256933434b2
1422267cc877456
15e1dae920db30
hex6f242a6a3fd4

122201121112020 has 144 divisors (see below), whose sum is σ = 371056089051648. Its totient is φ = 32553630600960.

The previous prime is 122201121111929. The next prime is 122201121112051. The reversal of 122201121112020 is 20211121102221.

It is a super-2 number, since 2×1222011211120202 (a number of 29 digits) contains 22 as substring.

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 = 122201121111984 and 122201121112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813400510 + ... + 813550730.

It is an arithmetic number, because the mean of its divisors is an integer number (2576778396192).

Almost surely, 2122201121112020 is an apocalyptic number.

122201121112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201121112020 is an abundant number, since it is smaller than the sum of its proper divisors (248854967939628).

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

122201121112020 is a wasteful number, since it uses less digits than its factorization.

122201121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154830 (or 154825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122201121112020 its reverse (20211121102221), we get a palindrome (142412242214241).

The spelling of 122201121112020 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1427 2854 3167 4281 5708 6334 7135 8562 9501 12668 12843 14270 15835 17124 19002 21405 25686 28503 28540 31670 38004 42810 47505 51372 57006 63340 64215 85620 95010 114012 128430 142515 150221 190020 256860 285030 300442 450663 570060 600884 751105 901326 1351989 1502210 1802652 2253315 2703978 3004420 4506630 4519309 5407956 6759945 9013260 9038618 13519890 13557927 18077236 22596545 27039780 27115854 40673781 45193090 54231708 67789635 81347562 90386180 135579270 162695124 203368905 214365367 271158540 406737810 428730734 475749907 643096101 813475620 857461468 951499814 1071826835 1286192202 1427249721 1902999628 1929288303 2143653670 2378749535 2572384404 2854499442 3215480505 3858576606 4281749163 4287307340 4757499070 5708998884 6430961010 7136248605 7717153212 8563498326 9514998140 9646441515 12861922020 14272497210 17126996652 19292883030 21408745815 28544994420 38585766060 42817491630 85634983260 678895117289 1357790234578 2036685351867 2715580469156 3394475586445 4073370703734 6110056055601 6788951172890 8146741407468 10183426759335 12220112111202 13577902345780 20366853518670 24440224222404 30550280278005 40733707037340 61100560556010 122201121112020