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121327232 = 2713174289
BaseRepresentation
bin1110011101101…
…00111010000000
322110022001200012
413032310322000
5222024432412
620012244052
73002156465
oct716647200
9273261605
10121327232
1162538a44
1234770628
131c1a0080
141218366c
15a9b8c22
hex73b4e80

121327232 has 64 divisors (see below), whose sum is σ = 275675400. Its totient is φ = 52690944.

The previous prime is 121327223. The next prime is 121327243. The reversal of 121327232 is 232723121.

It can be written as a sum of positive squares in 4 ways, for example, as 117852736 + 3474496 = 10856^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 121327198 and 121327207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26144 + ... + 30432.

Almost surely, 2121327232 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 121327232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137837700).

121327232 is an abundant number, since it is smaller than the sum of its proper divisors (154348168).

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

121327232 is a wasteful number, since it uses less digits than its factorization.

121327232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4321 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 121327232 is about 11014.8641389715. The cubic root of 121327232 is about 495.0542157398.

The spelling of 121327232 in words is "one hundred twenty-one million, three hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 4289 7072 8578 14144 17156 28288 34312 55757 68624 72913 111514 137248 145826 223028 274496 291652 446056 548992 583304 892112 947869 1166608 1784224 1895738 2333216 3568448 3791476 4666432 7136896 7582952 9332864 15165904 30331808 60663616 121327232