Search a number
-
+
121224114 = 23411591153
BaseRepresentation
bin1110011100110…
…11101110110010
322110002211020000
413032123232302
5222013132424
620010130430
73001250034
oct716335662
9273084200
10121224114
1162478520
1234720a16
131c16515b
1412157c54
15a9983c9
hex739bbb2

121224114 has 80 divisors (see below), whose sum is σ = 301609440. Its totient is φ = 36080640.

The previous prime is 121224113. The next prime is 121224133. The reversal of 121224114 is 411422121.

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 (121224113) 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 39 ways as a sum of consecutive naturals, for example, 104562 + ... + 105714.

It is an arithmetic number, because the mean of its divisors is an integer number (3770118).

Almost surely, 2121224114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121224114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150804720).

121224114 is an abundant number, since it is smaller than the sum of its proper divisors (180385326).

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

121224114 is a wasteful number, since it uses less digits than its factorization.

121224114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1228 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121224114 is about 11010.1822873193. The cubic root of 121224114 is about 494.9139244271.

Adding to 121224114 its reverse (411422121), we get a palindrome (532646235).

The spelling of 121224114 in words is "one hundred twenty-one million, two hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 891 1062 1153 1298 1593 1782 1947 2306 3186 3459 3894 4779 5841 6918 9558 10377 11682 12683 17523 20754 25366 31131 35046 38049 52569 62262 68027 76098 93393 105138 114147 136054 186786 204081 228294 342441 408162 612243 684882 748297 1027323 1224486 1496594 1836729 2054646 2244891 3673458 4489782 5510187 6734673 11020374 13469346 20204019 40408038 60612057 121224114