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22121120122020 = 2235511251404557
BaseRepresentation
bin1010000011110011110011…
…00000011100010010100100
32220022202110220012001200000
411001321321200130102210
510344413023222401040
6115014145143421300
74442124656413143
oct501717140342244
986282426161600
1022121120122020
117059572681217
12259327a454830
13c46021b09c5a
1456694cb0d75a
1528564b327130
hex141e7981c4a4

22121120122020 has 144 divisors (see below), whose sum is σ = 69592300185408. Its totient is φ = 5898426480000.

The previous prime is 22121120121983. The next prime is 22121120122037. The reversal of 22121120122020 is 2022102112122.

It is a happy number.

22121120122020 is a `hidden beast` number, since 2 + 212 + 11 + 201 + 220 + 20 = 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 = 22121120121984 and 22121120122002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54477582 + ... + 54882138.

Almost surely, 222121120122020 is an apocalyptic number.

22121120122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121120122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34796150092704).

22121120122020 is an abundant number, since it is smaller than the sum of its proper divisors (47471180063388).

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

22121120122020 is a wasteful number, since it uses less digits than its factorization.

22121120122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415832 (or 415818 counting only the distinct ones).

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

Adding to 22121120122020 its reverse (2022102112122), we get a palindrome (24143222234142).

The spelling of 22121120122020 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 11251 22502 33753 45004 56255 67506 101259 112510 135012 168765 202518 225020 303777 337530 404557 405036 506295 607554 675060 809114 911331 1012590 1213671 1215108 1518885 1618228 1822662 2022785 2025180 2427342 2733993 3037770 3641013 3645324 4045570 4556655 4854684 5467986 6068355 6075540 7282026 8091140 9113310 10923039 10935972 12136710 13669965 14564052 18205065 18226620 21846078 24273420 27339930 32769117 36410130 43692156 54615195 54679860 65538234 72820260 98307351 109230390 131076468 163845585 196614702 218460780 327691170 393229404 491536755 655382340 983073510 1966147020 4551670807 9103341614 13655012421 18206683228 22758354035 27310024842 40965037263 45516708070 54620049684 68275062105 81930074526 91033416140 122895111789 136550124210 163860149052 204825186315 245790223578 273100248420 368685335367 409650372630 491580447156 614475558945 737370670734 819300745260 1106056006101 1228951117890 1474741341468 1843426676835 2212112012202 2457902235780 3686853353670 4424224024404 5530280030505 7373706707340 11060560061010 22121120122020