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12120022101 = 3111572339321
BaseRepresentation
bin10110100100110100…
…01101110001010101
31011021122221220201110
423102122031301111
5144310211201401
65322354045233
7606226326255
oct132232156125
934248856643
1012120022101
11515a488aa0
122422b79819
1311b1c98815
1482d941965
154ae07c9d6
hex2d268dc55

12120022101 has 16 divisors (see below), whose sum is σ = 17741418048. Its totient is φ = 7298678400.

The previous prime is 12120022099. The next prime is 12120022121. The reversal of 12120022101 is 10122002121.

12120022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120022101 - 21 = 12120022099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164480 + ... + 1174841.

It is an arithmetic number, because the mean of its divisors is an integer number (1108838628).

Almost surely, 212120022101 is an apocalyptic number.

12120022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120022101 is a deficient number, since it is larger than the sum of its proper divisors (5621395947).

12120022101 is a wasteful number, since it uses less digits than its factorization.

12120022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339492.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120022101 its reverse (10122002121), we get a palindrome (22242024222).

The spelling of 12120022101 in words is "twelve billion, one hundred twenty million, twenty-two thousand, one hundred one".

Divisors: 1 3 11 33 157 471 1727 5181 2339321 7017963 25732531 77197593 367273397 1101820191 4040007367 12120022101