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122330001321 = 32111235656579
BaseRepresentation
bin111000111101101101…
…1111010111110101001
3102200202101110221102200
41301323123322332221
54001012440020241
6132110404250413
711560310566113
oct1617333727651
9380671427380
10122330001321
1147975107650
121b8600a0a09
13b6c6b34c88
145cc69843b3
1532ae8014b6
hex1c7b6fafa9

122330001321 has 12 divisors (see below), whose sum is σ = 192762426480. Its totient is φ = 74139394680.

The previous prime is 122330001319. The next prime is 122330001347. The reversal of 122330001321 is 123100033221.

122330001321 is a `hidden beast` number, since 12 + 2 + 330 + 0 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 122330001321 - 21 = 122330001319 is a prime.

It is a super-3 number, since 3×1223300013213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122330001294 and 122330001303.

It is not an unprimeable number, because it can be changed into a prime (122330002321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617828191 + ... + 617828388.

It is an arithmetic number, because the mean of its divisors is an integer number (16063535540).

Almost surely, 2122330001321 is an apocalyptic number.

122330001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122330001321 is a deficient number, since it is larger than the sum of its proper divisors (70432425159).

122330001321 is a wasteful number, since it uses less digits than its factorization.

122330001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235656596 (or 1235656593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122330001321 its reverse (123100033221), we get a palindrome (245430034542).

The spelling of 122330001321 in words is "one hundred twenty-two billion, three hundred thirty million, one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 1235656579 3706969737 11120909211 13592222369 40776667107 122330001321