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1224212034132 = 22321747379112297
BaseRepresentation
bin10001110100001000101…
…110010011001001010100
311100000220102220212211100
4101310020232103021110
5130024141240043012
62334221212310100
7154306054411563
oct21641056231124
94300812825740
101224212034132
1143220486175a
12179316172330
138b59a7c2a19
1443375d99bda
1521ca06118dc
hex11d08b93254

1224212034132 has 144 divisors (see below), whose sum is σ = 3355140821760. Its totient is φ = 374899746816.

The previous prime is 1224212034131. The next prime is 1224212034139. The reversal of 1224212034132 is 2314302124221.

1224212034132 is a `hidden beast` number, since 1 + 2 + 2 + 42 + 1 + 203 + 413 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1224212034096 and 1224212034105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224212034131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10845408 + ... + 10957704.

It is an arithmetic number, because the mean of its divisors is an integer number (23299589040).

Almost surely, 21224212034132 is an apocalyptic number.

1224212034132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224212034132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677570410880).

1224212034132 is an abundant number, since it is smaller than the sum of its proper divisors (2130928787628).

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

1224212034132 is a wasteful number, since it uses less digits than its factorization.

1224212034132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112750 (or 112745 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1224212034132 its reverse (2314302124221), we get a palindrome (3538514158353).

The spelling of 1224212034132 in words is "one trillion, two hundred twenty-four billion, two hundred twelve million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 379 423 564 612 758 799 846 1137 1516 1598 1692 2274 2397 3196 3411 4548 4794 6443 6822 7191 9588 12886 13644 14382 17813 19329 25772 28764 35626 38658 53439 57987 71252 77316 106878 112297 115974 160317 213756 224594 231948 302821 320634 336891 449188 605642 641268 673782 908463 1010673 1211284 1347564 1816926 1909049 2021346 2725389 3633852 3818098 4042692 5277959 5450778 5727147 7636196 10555918 10901556 11454294 15833877 17181441 21111836 22908588 31667754 34362882 42560563 47501631 63335508 68725764 85121126 89725303 95003262 127681689 170242252 179450606 190006524 255363378 269175909 358901212 383045067 510726756 538351818 723529571 766090134 807527727 1076703636 1447059142 1532180268 1615055454 2000346461 2170588713 2894118284 3230110908 4000692922 4341177426 6001039383 6511766139 8001385844 8682354852 12002078766 13023532278 18003118149 24004157532 26047064556 34005889837 36006236298 68011779674 72012472596 102017669511 136023559348 204035339022 306053008533 408070678044 612106017066 1224212034132