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122003132121 = 33132053169307
BaseRepresentation
bin111000110011111110…
…1000000111011011001
3102122220121102021012000
41301213331000323121
53444330300211441
6132014130311213
711546231340513
oct1614775007331
9378817367160
10122003132121
1147817650a12
121b78a728509
13b6741ba250
145c953b8bb3
153290c862b6
hex1c67f40ed9

122003132121 has 32 divisors (see below), whose sum is σ = 194744833920. Its totient is φ = 75041836992.

The previous prime is 122003132077. The next prime is 122003132131. The reversal of 122003132121 is 121231300221.

It is not a de Polignac number, because 122003132121 - 213 = 122003123929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122003132094 and 122003132103.

It is not an unprimeable number, because it can be changed into a prime (122003132131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635950 + ... + 805256.

It is an arithmetic number, because the mean of its divisors is an integer number (6085776060).

Almost surely, 2122003132121 is an apocalyptic number.

It is an amenable number.

122003132121 is a deficient number, since it is larger than the sum of its proper divisors (72741701799).

122003132121 is a wasteful number, since it uses less digits than its factorization.

122003132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171382 (or 171376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122003132121 its reverse (121231300221), we get a palindrome (243234432342).

The spelling of 122003132121 in words is "one hundred twenty-two billion, three million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 2053 6159 18477 26689 55431 80067 169307 240201 507921 720603 1523763 2200991 4571289 6602973 19808919 59426757 347587271 1042761813 3128285439 4518634523 9384856317 13555903569 40667710707 122003132121