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122330221321 = 7211226957739
BaseRepresentation
bin111000111101101110…
…0110000101100001001
3102200202101220010012211
41301323130300230021
54001013014040241
6132110413105121
711560312503400
oct1617334605411
9380671803184
10122330221321
1147975247970
121b8601881a1
13b6c6bb1159
145cc6a00637
1532ae846781
hex1c7b730b09

122330221321 has 12 divisors (see below), whose sum is σ = 155239094160. Its totient is φ = 95322249960.

The previous prime is 122330221267. The next prime is 122330221369. The reversal of 122330221321 is 123122033221.

It is not a de Polignac number, because 122330221321 - 215 = 122330188553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122330221292 and 122330221301.

It is not an unprimeable number, because it can be changed into a prime (122330021321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113478331 + ... + 113479408.

It is an arithmetic number, because the mean of its divisors is an integer number (12936591180).

Almost surely, 2122330221321 is an apocalyptic number.

122330221321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122330221321 is a deficient number, since it is larger than the sum of its proper divisors (32908872839).

122330221321 is a wasteful number, since it uses less digits than its factorization.

122330221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226957764 (or 226957757 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122330221321 its reverse (123122033221), we get a palindrome (245452254542).

The spelling of 122330221321 in words is "one hundred twenty-two billion, three hundred thirty million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 49 77 539 226957739 1588704173 2496535129 11120929211 17475745903 122330221321