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2221122012120 = 2332511560889397
BaseRepresentation
bin100000010100100101001…
…100000100001111011000
321212100002210220220222200
4200110211030010033120
5242342324213341440
64420211441050200
7316320321411234
oct40244514041730
97770083826880
102221122012120
11786a77520350
122ba575326960
131315b284806b
1479707c855c4
153cb9a950c30
hex205253043d8

2221122012120 has 96 divisors (see below), whose sum is σ = 7874887147920. Its totient is φ = 538453820160.

The previous prime is 2221122012113. The next prime is 2221122012143. The reversal of 2221122012120 is 212102211222.

It is a happy number.

2221122012120 is a `hidden beast` number, since 22 + 211 + 220 + 1 + 212 + 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 = 2221122012093 and 2221122012102.

It is a congruent number.

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, 280440739 + ... + 280448658.

Almost surely, 22221122012120 is an apocalyptic number.

2221122012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221122012120 is an abundant number, since it is smaller than the sum of its proper divisors (5653765135800).

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

2221122012120 is a wasteful number, since it uses less digits than its factorization.

2221122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560889425 (or 560889418 counting only the distinct ones).

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

Adding to 2221122012120 its reverse (212102211222), we get a palindrome (2433224223342).

The spelling of 2221122012120 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 560889397 1121778794 1682668191 2243557588 2804446985 3365336382 4487115176 5048004573 5608893970 6169783367 6730672764 8413340955 10096009146 11217787940 12339566734 13461345528 16826681910 18509350101 20192018292 22435575880 24679133468 25240022865 30848916835 33653363820 37018700202 40384036584 49358266936 50480045730 55528050303 61697833670 67306727640 74037400404 92546750505 100960091460 111056100606 123395667340 148074800808 185093501010 201920182920 222112201212 246791334680 277640251515 370187002020 444224402424 555280503030 740374004040 1110561006060 2221122012120