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122212111113 = 3224317558421
BaseRepresentation
bin111000111010001101…
…0001101001100001001
3102200110011122111110200
41301310122031030021
54000242300023423
6132050553402413
711554346542641
oct1616432151411
9380404574420
10122212111113
1147914606a24
121b828709409
13b6a8599461
145cb5057521
1532a42b5d43
hex1c7468d309

122212111113 has 12 divisors (see below), whose sum is σ = 176536180548. Its totient is φ = 81471244320.

The previous prime is 122212111103. The next prime is 122212111123. The reversal of 122212111113 is 311111212221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122212111103) and next prime (122212111123).

It can be written as a sum of positive squares in 2 ways, for example, as 81840049929 + 40372061184 = 286077^2 + 200928^2 .

It is not a de Polignac number, because 122212111113 - 28 = 122212110857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122212111103) 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 11 ways as a sum of consecutive naturals, for example, 60358 + ... + 498063.

It is an arithmetic number, because the mean of its divisors is an integer number (14711348379).

Almost surely, 2122212111113 is an apocalyptic number.

It is an amenable number.

122212111113 is a deficient number, since it is larger than the sum of its proper divisors (54324069435).

122212111113 is a wasteful number, since it uses less digits than its factorization.

122212111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582744 (or 582741 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 122212111113 its reverse (311111212221), we get a palindrome (433323323334).

The spelling of 122212111113 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 24317 72951 218853 558421 1675263 5025789 13579123457 40737370371 122212111113