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12012211220220 = 2233525188624843
BaseRepresentation
bin1010111011001100111110…
…0101010010111011111100
31120112100121122122100211000
42232303033211102323330
53033302002033021340
641314200022530300
72346565535454441
oct256631745227374
946470548570730
1012012211220220
113911394092342
121420069296990
13691992539793
142d757369d9c8
1515c6e9eb4d30
hexaeccf952efc

12012211220220 has 96 divisors (see below), whose sum is σ = 37520213955840. Its totient is φ = 3190494312000.

The previous prime is 12012211220189. The next prime is 12012211220227. The reversal of 12012211220220 is 2202211221021.

It is a happy number.

12012211220220 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 221 + 1 + 220 + 220 = 666.

It is a super-2 number, since 2×120122112202202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012211220193 and 12012211220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012211220227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44176882 + ... + 44447961.

It is an arithmetic number, because the mean of its divisors is an integer number (390835562040).

Almost surely, 212012211220220 is an apocalyptic number.

12012211220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012211220220 is an abundant number, since it is smaller than the sum of its proper divisors (25508002735620).

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

12012211220220 is a wasteful number, since it uses less digits than its factorization.

12012211220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88625112 (or 88625104 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012211220220 its reverse (2202211221021), we get a palindrome (14214422441241).

The spelling of 12012211220220 in words is "twelve trillion, twelve billion, two hundred eleven million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 251 270 502 540 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 6777 7530 9036 11295 13554 15060 22590 27108 33885 45180 67770 135540 88624843 177249686 265874529 354499372 443124215 531749058 797623587 886248430 1063498116 1329372645 1595247174 1772496860 2392870761 2658745290 3190494348 3988117935 4785741522 5317490580 7976235870 9571483044 11964353805 15952471740 22244835593 23928707610 44489671186 47857415220 66734506779 88979342372 111224177965 133469013558 200203520337 222448355930 266938027116 333672533895 400407040674 444896711860 600610561011 667345067790 800814081348 1001017601685 1201221122022 1334690135580 2002035203370 2402442244044 3003052805055 4004070406740 6006105610110 12012211220220