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122000120121 = 3117152070047
BaseRepresentation
bin111000110011111000…
…1100001100100111001
3102122220101202020111110
41301213301201210321
53444324012320441
6132013541550533
711546163624255
oct1614761414471
9378811666443
10122000120121
1147815983a60
121b789715449
13b6736a42b9
145c94c33265
15329088db16
hex1c67c61939

122000120121 has 16 divisors (see below), whose sum is σ = 179954085888. Its totient is φ = 72898064400.

The previous prime is 122000120119. The next prime is 122000120129. The reversal of 122000120121 is 121021000221.

It is not a de Polignac number, because 122000120121 - 21 = 122000120119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122000120097 and 122000120106.

It is not an unprimeable number, because it can be changed into a prime (122000120129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26032681 + ... + 26037366.

It is an arithmetic number, because the mean of its divisors is an integer number (11247130368).

Almost surely, 2122000120121 is an apocalyptic number.

122000120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122000120121 is a deficient number, since it is larger than the sum of its proper divisors (57953965767).

122000120121 is a wasteful number, since it uses less digits than its factorization.

122000120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52070132.

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

Adding to 122000120121 its reverse (121021000221), we get a palindrome (243021120342).

The spelling of 122000120121 in words is "one hundred twenty-two billion, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 71 213 781 2343 52070047 156210141 572770517 1718311551 3696973337 11090920011 40666706707 122000120121