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20122102112123 = 1121723139074751
BaseRepresentation
bin1001001001101000010101…
…01111111001111101111011
32122020122122220010110212202
410210310022233321331323
510114140031120041443
6110443544402100415
74144526306606024
oct444641257717573
978218586113782
1020122102112123
116458810073100
12230b96b34a70b
13b2c676b4841b
144d7cb483dc4b
1524d64e66e7b8
hex124d0abf9f7b

20122102112123 has 72 divisors (see below), whose sum is σ = 24264479619072. Its totient is φ = 16653621600000.

The previous prime is 20122102112069. The next prime is 20122102112173. The reversal of 20122102112123 is 32121120122102.

It is not a de Polignac number, because 20122102112123 - 222 = 20122097917819 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20122102112095 and 20122102112104.

It is not an unprimeable number, because it can be changed into a prime (20122102112173) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4235337998 + ... + 4235342748.

It is an arithmetic number, because the mean of its divisors is an integer number (337006661376).

Almost surely, 220122102112123 is an apocalyptic number.

20122102112123 is a deficient number, since it is larger than the sum of its proper divisors (4142377506949).

20122102112123 is a wasteful number, since it uses less digits than its factorization.

20122102112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 20122102112123 its reverse (32121120122102), we get a palindrome (52243222234225).

The spelling of 20122102112123 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 11 17 31 121 187 289 341 527 2057 3179 3751 3907 4751 5797 8959 34969 42977 52261 63767 66419 80767 98549 121117 147281 472747 574871 730609 888437 1084039 1129123 1332287 1373039 1620091 2058989 2503777 8036699 9772807 12420353 14655157 15103429 17821001 18562157 22648879 27541547 35002813 42564209 136623883 166137719 204183727 249137669 302957017 315556669 385030943 468206299 575426867 2246020997 3471123359 4235340373 5150269289 5364463373 6329695537 9782256739 38182356949 59009097103 69626650907 107604824129 166298364563 649100068133 1183653065419 1829282010193 20122102112123