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20122100120122 = 27111346121802601
BaseRepresentation
bin1001001001101000010101…
…01000010011101000111010
32122020122122202101021100221
410210310022220103220322
510114140030112320442
6110443544251250254
74144526253641320
oct444641250235072
978218582337327
1020122100120122
116458809a32520
12230b96a74998a
13b2c6765cb820
144d7cb4481d10
1524d64e3c9467
hex124d0aa13a3a

20122100120122 has 64 divisors (see below), whose sum is σ = 40613538163968. Its totient is φ = 7221021120000.

The previous prime is 20122100120099. The next prime is 20122100120147. The reversal of 20122100120122 is 22102100122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122100120096 and 20122100120105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9978379 + ... + 11824222.

It is an arithmetic number, because the mean of its divisors is an integer number (634586533812).

Almost surely, 220122100120122 is an apocalyptic number.

20122100120122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20122100120122 is an abundant number, since it is smaller than the sum of its proper divisors (20491438043846).

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

20122100120122 is a wasteful number, since it uses less digits than its factorization.

20122100120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21803095.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122100120122 its reverse (22102100122102), we get a palindrome (42224200242224).

The spelling of 20122100120122 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 461 922 1001 2002 3227 5071 5993 6454 10142 11986 35497 41951 65923 70994 83902 131846 461461 922922 21802601 43605202 152618207 239828611 283433813 305236414 479657222 566867626 1678800277 1984036691 3117771943 3357600554 3968073382 6235543886 10050999061 20101998122 21824403601 43648807202 70356993427 110560989671 130662987793 140713986854 221121979342 261325975586 773926927697 914640914551 1437292865723 1547853855394 1829281829102 2874585731446 10061050060061 20122100120122