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20221211220120 = 2332556170031167
BaseRepresentation
bin1001001100100000111100…
…00111001001100010011000
32122121010110222101211001100
410212100132013021202120
510122301020033020440
6111001255102151400
74154635315251531
oct446203607114230
978533428354040
1020221211220120
116496849627919
12232700a882560
13b38b0cc00021
144dc9d7435688
1525100057b230
hex12641e1c9898

20221211220120 has 48 divisors (see below), whose sum is σ = 65718936466560. Its totient is φ = 5392322991936.

The previous prime is 20221211220071. The next prime is 20221211220151. The reversal of 20221211220120 is 2102211212202.

It is a happy number.

20221211220120 is a `hidden beast` number, since 2 + 0 + 221 + 211 + 220 + 12 + 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 = 20221211220093 and 20221211220102.

It is a congruent number.

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, 28085015224 + ... + 28085015943.

It is an arithmetic number, because the mean of its divisors is an integer number (1369144509720).

Almost surely, 220221211220120 is an apocalyptic number.

20221211220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221211220120 is an abundant number, since it is smaller than the sum of its proper divisors (45497725246440).

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

20221211220120 is a wasteful number, since it uses less digits than its factorization.

20221211220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56170031184 (or 56170031177 counting only the distinct ones).

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

Adding to 20221211220120 its reverse (2102211212202), we get a palindrome (22323422432322).

The spelling of 20221211220120 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56170031167 112340062334 168510093501 224680124668 280850155835 337020187002 449360249336 505530280503 561700311670 674040374004 842550467505 1011060561006 1123400623340 1348080748008 1685100935010 2022121122012 2246801246680 2527651402515 3370201870020 4044242244024 5055302805030 6740403740040 10110605610060 20221211220120