Search a number
-
+
121045600 = 255213103113
BaseRepresentation
bin1110011011100…
…00001001100000
322102202202100101
413031300021200
5221441424400
620002232144
72666604424
oct715601140
9272682311
10121045600
1162366395
1234655654
131c101b20
141210cb84
15a96056a
hex7370260

121045600 has 144 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 43868160.

The previous prime is 121045577. The next prime is 121045601. The reversal of 121045600 is 6540121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121045601) 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 23 ways as a sum of consecutive naturals, for example, 1071144 + ... + 1071256.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2121045600 is an apocalyptic number.

121045600 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 121045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

121045600 is an abundant number, since it is smaller than the sum of its proper divisors (203121152).

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

121045600 is a wasteful number, since it uses less digits than its factorization.

121045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 121045600 is about 11002.0725320278. The cubic root of 121045600 is about 494.6708691901.

Adding to 121045600 its reverse (6540121), we get a palindrome (127585721).

The spelling of 121045600 in words is "one hundred twenty-one million, forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 103 104 113 130 160 200 206 208 226 260 325 400 412 416 452 515 520 565 650 800 824 904 1030 1040 1130 1300 1339 1469 1648 1808 2060 2080 2260 2575 2600 2678 2825 2938 3296 3616 4120 4520 5150 5200 5356 5650 5876 6695 7345 8240 9040 10300 10400 10712 11300 11639 11752 13390 14690 16480 18080 20600 21424 22600 23278 23504 26780 29380 33475 36725 41200 42848 45200 46556 47008 53560 58195 58760 66950 73450 82400 90400 93112 107120 116390 117520 133900 146900 151307 186224 214240 232780 235040 267800 290975 293800 302614 372448 465560 535600 581950 587600 605228 756535 931120 1071200 1163900 1175200 1210456 1513070 1862240 2327800 2420912 3026140 3782675 4655600 4841824 6052280 7565350 9311200 12104560 15130700 24209120 30261400 60522800 121045600