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122112202009 = 7118271474981
BaseRepresentation
bin111000110111001110…
…1000101010100011001
3102200012012122120221111
41301232131011110121
54000041210431014
6132033024140321
711552024406520
oct1615635052431
9380165576844
10122112202009
1147873177816
121b7bb1676a1
13b690988145
145ca5a8b4b7
15329a62d2c4
hex1c6e745519

122112202009 has 8 divisors (see below), whose sum is σ = 139568696768. Its totient is φ = 104658680880.

The previous prime is 122112201923. The next prime is 122112202027. The reversal of 122112202009 is 900202211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112202009 - 27 = 122112201881 is a prime.

It is a super-2 number, since 2×1221122020092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112202039) 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 7 ways as a sum of consecutive naturals, for example, 654702 + ... + 820279.

It is an arithmetic number, because the mean of its divisors is an integer number (17446087096).

Almost surely, 2122112202009 is an apocalyptic number.

It is an amenable number.

122112202009 is a deficient number, since it is larger than the sum of its proper divisors (17456494759).

122112202009 is a wasteful number, since it uses less digits than its factorization.

122112202009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486815.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 122112202009 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred two thousand, nine".

Divisors: 1 7 11827 82789 1474981 10324867 17444600287 122112202009