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122112203232 = 2531342194777
BaseRepresentation
bin111000110111001110…
…1000101100111100000
3102200012012122122121210
41301232131011213200
54000041211000412
6132033024150120
711552024413215
oct1615635054740
9380165578553
10122112203232
1147873178728
121b7bb168340
13b690988876
145ca5a8bb0c
15329a62d83c
hex1c6e7459e0

122112203232 has 48 divisors (see below), whose sum is σ = 320571799632. Its totient is φ = 40700605440.

The previous prime is 122112203219. The next prime is 122112203263. The reversal of 122112203232 is 232302211221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1221122032322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112203199 and 122112203208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1241028 + ... + 1335804.

It is an arithmetic number, because the mean of its divisors is an integer number (6678579159).

Almost surely, 2122112203232 is an apocalyptic number.

122112203232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112203232 is an abundant number, since it is smaller than the sum of its proper divisors (198459596400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112203232 is a wasteful number, since it uses less digits than its factorization.

122112203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108211 (or 108203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122112203232 its reverse (232302211221), we get a palindrome (354414414453).

The spelling of 122112203232 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13421 26842 40263 53684 80526 94777 107368 161052 189554 214736 284331 322104 379108 429472 568662 644208 758216 1137324 1288416 1516432 2274648 3032864 4549296 9098592 1272002117 2544004234 3816006351 5088008468 7632012702 10176016936 15264025404 20352033872 30528050808 40704067744 61056101616 122112203232