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121520224 = 25723103229
BaseRepresentation
bin1110011111001…
…00000001100000
322110122212102001
413033210001200
5222102121344
620020333344
73003622240
oct717440140
9273585361
10121520224
116265aa41
1234844254
131c239b77
14121d3b20
15aa05ed4
hex73e4060

121520224 has 96 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 49116672.

The previous prime is 121520197. The next prime is 121520227. The reversal of 121520224 is 422025121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121520227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530542 + ... + 530770.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2121520224 is an apocalyptic number.

121520224 is a gapful number since it is divisible by the number (14) 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 121520224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

121520224 is an abundant number, since it is smaller than the sum of its proper divisors (167816096).

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

121520224 is a wasteful number, since it uses less digits than its factorization.

121520224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 121520224 is about 11023.6211836220. The cubic root of 121520224 is about 495.3165665407.

Adding to 121520224 its reverse (422025121), we get a palindrome (543545345).

The spelling of 121520224 in words is "one hundred twenty-one million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 103 112 161 184 206 224 229 322 368 412 458 644 721 736 824 916 1288 1442 1603 1648 1832 2369 2576 2884 3206 3296 3664 4738 5152 5267 5768 6412 7328 9476 10534 11536 12824 16583 18952 21068 23072 23587 25648 33166 36869 37904 42136 47174 51296 66332 73738 75808 84272 94348 132664 147476 165109 168544 188696 265328 294952 330218 377392 530656 542501 589904 660436 754784 1085002 1179808 1320872 2170004 2641744 3797507 4340008 5283488 7595014 8680016 15190028 17360032 30380056 60760112 121520224