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122121210195 = 3357112740867
BaseRepresentation
bin111000110111011111…
…1011100100101010011
3102200012211121020212000
41301232333130211103
54000101012211240
6132033545205043
711552164105455
oct1615677344523
9380184536760
10122121210195
114787826a7a6
121b802190783
13b6927c042a
145ca6d542d5
15329b30c430
hex1c6efdc953

122121210195 has 32 divisors (see below), whose sum is σ = 220162199040. Its totient is φ = 64213964640.

The previous prime is 122121210191. The next prime is 122121210221. The reversal of 122121210195 is 591012121221.

It is not a de Polignac number, because 122121210195 - 22 = 122121210191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122121210191) 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 31 ways as a sum of consecutive naturals, for example, 6360849 + ... + 6380018.

It is an arithmetic number, because the mean of its divisors is an integer number (6880068720).

Almost surely, 2122121210195 is an apocalyptic number.

122121210195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122121210195 is a deficient number, since it is larger than the sum of its proper divisors (98040988845).

122121210195 is a wasteful number, since it uses less digits than its factorization.

122121210195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740952 (or 12740946 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 122121210195 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 9585 12740867 38222601 63704335 114667803 191113005 344003409 573339015 904601557 1720017045 2713804671 4523007785 8141414013 13569023355 24424242039 40707070065 122121210195