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122110109979 = 311135920112399
BaseRepresentation
bin111000110111001010…
…1000110100100011011
3102200012001201022012220
41301232111012210123
54000040142004404
6132032511235123
711552000544354
oct1615625064433
9380161638186
10122110109979
1147871a78a70
121b7ba518aa3
13b690404b60
145ca56a4d2b
15329a3684d9
hex1c6e54691b

122110109979 has 64 divisors (see below), whose sum is σ = 194697216000. Its totient is φ = 67094121600.

The previous prime is 122110109951. The next prime is 122110110029. The reversal of 122110109979 is 979901011221.

It is not a de Polignac number, because 122110109979 - 212 = 122110105883 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122110109979.

It is not an unprimeable number, because it can be changed into a prime (122110109939) 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 63 ways as a sum of consecutive naturals, for example, 50899222 + ... + 50901620.

It is an arithmetic number, because the mean of its divisors is an integer number (3042144000).

Almost surely, 2122110109979 is an apocalyptic number.

122110109979 is a deficient number, since it is larger than the sum of its proper divisors (72587106021).

122110109979 is a wasteful number, since it uses less digits than its factorization.

122110109979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496.

The product of its (nonzero) digits is 20412, while the sum is 42.

The spelling of 122110109979 in words is "one hundred twenty-two billion, one hundred ten million, one hundred nine thousand, nine hundred seventy-nine".

Divisors: 1 3 11 13 33 39 59 143 177 429 649 767 1947 2011 2301 2399 6033 7197 8437 22121 25311 26143 26389 31187 66363 78429 79167 93561 118649 141541 287573 343057 355947 424623 862719 1029171 1305139 1542437 1556951 1840033 3915417 4627311 4670853 4824389 5520099 14473167 16966807 20240363 50900421 53068279 60721089 62717057 159204837 188151171 284638951 689887627 853916853 2069662881 3131028461 3700306363 9393085383 11100919089 40703369993 122110109979