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120211222120201 = 1929225737378479
BaseRepresentation
bin11011010101010011011011…
…001100010100011100001001
3120202122002011202110111022101
4123111103123030110130021
5111224020040330321301
61103400134551553401
734214655101450602
oct3325233314243411
9522562152414271
10120211222120201
1135337324a94413
12115958a708b861
13520cb3c6a3c54
14219837b720da9
15dd6e82de2701
hex6d54db314709

120211222120201 has 48 divisors (see below), whose sum is σ = 131916297427200. Its totient is φ = 109234384551936.

The previous prime is 120211222120183. The next prime is 120211222120237. The reversal of 120211222120201 is 102021222112021.

It is not a de Polignac number, because 120211222120201 - 217 = 120211221989129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120211222120271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531723680 + ... + 1531802158.

It is an arithmetic number, because the mean of its divisors is an integer number (2748256196400).

Almost surely, 2120211222120201 is an apocalyptic number.

It is an amenable number.

120211222120201 is a deficient number, since it is larger than the sum of its proper divisors (11705075306999).

120211222120201 is a wasteful number, since it uses less digits than its factorization.

120211222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79186 (or 79157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 120211222120201 its reverse (102021222112021), we get a palindrome (222232444232222).

The spelling of 120211222120201 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".

Divisors: 1 19 29 257 373 551 841 4883 7087 7453 10817 15979 78479 95861 141607 205523 216137 313693 1491101 1821359 2275891 2779969 4106603 5960167 20169103 29272667 43241929 52819411 66000839 80619101 383212957 556180673 584903987 848907343 1254015941 1531762919 7523075419 11113175753 16129239517 16962215623 24618312947 142938432961 218169187151 322282096837 467747945993 4145214555869 6326906427379 120211222120201