Search a number
-
+
121203360 = 25325731153
BaseRepresentation
bin1110011100101…
…10101010100000
322110001202202100
413032112222200
5222012001420
620005450400
73001132365
oct716265240
9273052670
10121203360
1162463973
1234710a00
131c158885
141215046c
15a992190
hex7396aa0

121203360 has 144 divisors (see below), whose sum is σ = 419635944. Its totient is φ = 31850496.

The previous prime is 121203359. The next prime is 121203367. The reversal of 121203360 is 63302121.

It can be written as a sum of positive squares in 4 ways, for example, as 112275216 + 8928144 = 10596^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (121203367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 104544 + ... + 105696.

Almost surely, 2121203360 is an apocalyptic number.

121203360 is a gapful number since it is divisible by the number (10) 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 121203360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209817972).

121203360 is an abundant number, since it is smaller than the sum of its proper divisors (298432584).

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

121203360 is a wasteful number, since it uses less digits than its factorization.

121203360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 121203360 is about 11009.2397557688. The cubic root of 121203360 is about 494.8856791397.

Adding to 121203360 its reverse (63302121), we get a palindrome (184505481).

The spelling of 121203360 in words is "one hundred twenty-one million, two hundred three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1153 1168 1314 1440 1460 1752 2190 2306 2336 2628 2920 3285 3459 3504 4380 4612 5256 5765 5840 6570 6918 7008 8760 9224 10377 10512 11530 11680 13140 13836 17295 17520 18448 20754 21024 23060 26280 27672 34590 35040 36896 41508 46120 51885 52560 55344 69180 83016 84169 92240 103770 105120 110688 138360 166032 168338 184480 207540 252507 276720 332064 336676 415080 420845 505014 553440 673352 757521 830160 841690 1010028 1262535 1346704 1515042 1660320 1683380 2020056 2525070 2693408 3030084 3366760 3787605 4040112 5050140 6060168 6733520 7575210 8080224 10100280 12120336 13467040 15150420 20200560 24240672 30300840 40401120 60601680 121203360