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121220012122 = 21121929909091
BaseRepresentation
bin111000011100101000…
…1101001100001011010
3102120220000211122111121
41300321101221201122
53441224310341442
6131404313315454
711520642050026
oct1607121514132
9376800748447
10121220012122
114745559a300
121b5b0405b8a
13b57ab97631
145c1d3a5386
153247145967
hex1c3946985a

121220012122 has 48 divisors (see below), whose sum is σ = 217636624800. Its totient is φ = 50399949600.

The previous prime is 121220012113. The next prime is 121220012129. The reversal of 121220012122 is 221210022121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121220012096 and 121220012105.

It is not an unprimeable number, because it can be changed into a prime (121220012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321204 + ... + 587887.

It is an arithmetic number, because the mean of its divisors is an integer number (4534096350).

Almost surely, 2121220012122 is an apocalyptic number.

121220012122 is a deficient number, since it is larger than the sum of its proper divisors (96416612678).

121220012122 is a wasteful number, since it uses less digits than its factorization.

121220012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909163 (or 909152 counting only the distinct ones).

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

Adding to 121220012122 its reverse (221210022121), we get a palindrome (342430034243).

Subtracting 121220012122 from its reverse (221210022121), we obtain a palindrome (99990009999).

It can be divided in two parts, 1212200 and 12122, that multiplied together give a square (14694288400 = 1212202).

The spelling of 121220012122 in words is "one hundred twenty-one billion, two hundred twenty million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 29 38 58 121 209 242 319 418 551 638 1102 2299 3509 4598 6061 7018 12122 66671 133342 909091 1818182 10000001 17272729 20000002 26363639 34545458 52727278 110000011 190000019 220000022 290000029 380000038 500909141 580000058 1001818282 2090000209 3190000319 4180000418 5510000551 6380000638 11020001102 60610006061 121220012122