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12102022121220 = 2232567233456229
BaseRepresentation
bin1011000000011011100010…
…1110101100011100000100
31120211221102201200211212200
42300012320232230130010
53041234420130334340
641423331530114500
72356225250515113
oct260067056543404
946757381624780
1012102022121220
113946490a96569
12143555287ba30
1369a2a6120455
142dba53415c7a
1515ec0493c330
hexb01b8bac704

12102022121220 has 36 divisors (see below), whose sum is σ = 36709467101580. Its totient is φ = 3227205898944.

The previous prime is 12102022121153. The next prime is 12102022121237. The reversal of 12102022121220 is 2212122020121.

It is a happy number.

12102022121220 is a `hidden beast` number, since 1 + 210 + 2 + 0 + 221 + 212 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5430009136644 + 6672012984576 = 2330238^2 + 2583024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12102022121193 and 12102022121202.

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 11 ways as a sum of consecutive naturals, for example, 33616727935 + ... + 33616728294.

Almost surely, 212102022121220 is an apocalyptic number.

12102022121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102022121220 is an abundant number, since it is smaller than the sum of its proper divisors (24607444980360).

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

12102022121220 is a wasteful number, since it uses less digits than its factorization.

12102022121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67233456244 (or 67233456239 counting only the distinct ones).

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

Adding to 12102022121220 its reverse (2212122020121), we get a palindrome (14314144141341).

The spelling of 12102022121220 in words is "twelve trillion, one hundred two billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67233456229 134466912458 201700368687 268933824916 336167281145 403400737374 605101106061 672334562290 806801474748 1008501843435 1210202212122 1344669124580 2017003686870 2420404424244 3025505530305 4034007373740 6051011060610 12102022121220