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122332331121 = 3711313336667
BaseRepresentation
bin111000111101110010…
…0110011110001110001
3102200202112212022022120
41301323210303301301
54001014034043441
6132110530224453
711560336441410
oct1617344636161
9380675768276
10122332331121
1147976459000
121b860a25129
13b6c746c560
145cc6dcd477
1532aeb11966
hex1c7b933c71

122332331121 has 64 divisors (see below), whose sum is σ = 220811114496. Its totient is φ = 58660683840.

The previous prime is 122332331087. The next prime is 122332331129. The reversal of 122332331121 is 121133233221.

It is not a de Polignac number, because 122332331121 - 26 = 122332331057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122332331091 and 122332331100.

It is not an unprimeable number, because it can be changed into a prime (122332331129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195030 + ... + 531696.

It is an arithmetic number, because the mean of its divisors is an integer number (3450173664).

Almost surely, 2122332331121 is an apocalyptic number.

122332331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122332331121 is a deficient number, since it is larger than the sum of its proper divisors (98478783375).

122332331121 is a wasteful number, since it uses less digits than its factorization.

122332331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336723 (or 336701 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 122332331121 its reverse (121133233221), we get a palindrome (243465564342).

The spelling of 122332331121 in words is "one hundred twenty-two billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1331 1573 2541 3003 3993 4719 9317 11011 17303 27951 33033 51909 121121 336667 363363 1010001 2356669 3703337 4376671 7070007 11110011 13130013 25923359 30636697 40736707 48143381 77770077 91910091 122210121 144430143 285156949 337003667 448103777 529577191 855470847 1011011001 1344311331 1588731573 3136726439 3707040337 5825349101 9410179317 11121121011 17476047303 40777443707 122332331121