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122120110000122 = 231398313417118709
BaseRepresentation
bin11011110001000101001101…
…110001101100011111111010
3121000101120100102210002012120
4123301011031301230133322
5112001303441130000442
61111421112024022110
734502613111636543
oct3361051561543772
9530346312702176
10122120110000122
1135a02936480903
1211843841901936
13531ab528b0820
1422229056db4ca
15e1b9570b64ec
hex6f114dc6c7fa

122120110000122 has 64 divisors (see below), whose sum is σ = 263317348143360. Its totient is φ = 37534079291904.

The previous prime is 122120110000117. The next prime is 122120110000181. The reversal of 122120110000122 is 221000011021221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028675704 + ... + 1028794412.

It is an arithmetic number, because the mean of its divisors is an integer number (4114333564740).

Almost surely, 2122120110000122 is an apocalyptic number.

122120110000122 is an abundant number, since it is smaller than the sum of its proper divisors (141197238143238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122120110000122 is a wasteful number, since it uses less digits than its factorization.

122120110000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133127.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120110000122 its reverse (221000011021221), we get a palindrome (343120121021343).

The spelling of 122120110000122 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred ten million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 983 1966 2949 5898 12779 13417 25558 26834 38337 40251 76674 80502 118709 174421 237418 348842 356127 523263 712254 1046526 1543217 3086434 4629651 9259302 13188911 26377822 39566733 79133466 116690947 171455843 233381894 342911686 350072841 514367529 700145682 1028735058 1516982311 1592718653 3033964622 3185437306 4550946933 4778155959 9101893866 9556311918 20705342489 41410684978 62116027467 124232054934 1565642435899 3131284871798 4696927307697 9393854615394 20353351666687 40706703333374 61060055000061 122120110000122