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12111322221232 = 2413217459157389
BaseRepresentation
bin1011000000111110001100…
…0011110000101010110000
31120212211102212110212201021
42300033203003300222300
53041412441442034412
641431510431345224
72360004566203243
oct260174303605260
946784385425637
1012111322221232
11394a42371a333
121437309382214
1369b128b04c00
142dc29662925a
1516009b147607
hexb03e30f0ab0

12111322221232 has 120 divisors (see below), whose sum is σ = 26910600736320. Its totient is φ = 5259789250560.

The previous prime is 12111322221223. The next prime is 12111322221233. The reversal of 12111322221232 is 23212222311121.

It is a junction number, because it is equal to n+sod(n) for n = 12111322221197 and 12111322221206.

It is not an unprimeable number, because it can be changed into a prime (12111322221233) 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 23 ways as a sum of consecutive naturals, for example, 211010394 + ... + 211067782.

It is an arithmetic number, because the mean of its divisors is an integer number (224255006136).

Almost surely, 212111322221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111322221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13455300368160).

12111322221232 is an abundant number, since it is smaller than the sum of its proper divisors (14799278515088).

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

12111322221232 is a wasteful number, since it uses less digits than its factorization.

12111322221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62031 (or 62012 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 12111322221232 its reverse (23212222311121), we get a palindrome (35323544532353).

The spelling of 12111322221232 in words is "twelve trillion, one hundred eleven billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1768 2704 2873 3536 4591 5746 9182 11492 18364 22984 36728 45968 57389 59683 73456 78047 114778 119366 156094 229556 238732 312188 459112 477464 624376 746057 775879 918224 954928 975613 1014611 1248752 1492114 1551758 1951226 2029222 2984228 3103516 3902452 4058444 5968456 6207032 7804904 8116888 9698741 11936912 12414064 12682969 13189943 15609808 16233776 19397482 25365938 26379886 38794964 50731876 52759772 77589928 101463752 105519544 155179856 164878597 202927504 211039088 263472899 329757194 526945798 659514388 1053891596 1319028776 2107783192 2638057552 3425147687 4215566384 4479039283 6850295374 8958078566 13700590748 17916157132 27401181496 35832314264 44526919931 54802362992 58227510679 71664628528 89053839862 116455021358 178107679724 232910042716 356215359448 465820085432 712430718896 756957638827 931640170864 1513915277654 3027830555308 6055661110616 12111322221232