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121140224 = 210281421
BaseRepresentation
bin1110011100001…
…11010000000000
322102221120010222
413032013100000
5222002441344
620004242212
73000450332
oct716072000
9272846128
10121140224
1162420497
12346a0368
131c135c0a
1412135452
15a97d5ee
hex7387400

121140224 has 44 divisors (see below), whose sum is σ = 243601188. Its totient is φ = 60211200.

The previous prime is 121140211. The next prime is 121140233. The reversal of 121140224 is 422041121.

It can be written as a sum of positive squares in 2 ways, for example, as 29593600 + 91546624 = 5440^2 + 9568^2 .

It is a super-3 number, since 3×1211402243 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287534 + ... + 287954.

Almost surely, 2121140224 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 121140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121800594).

121140224 is an abundant number, since it is smaller than the sum of its proper divisors (122460964).

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

121140224 is an equidigital number, since it uses as much as digits as its factorization.

121140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 121140224 is about 11006.3719726348. The cubic root of 121140224 is about 494.7997339726.

Adding to 121140224 its reverse (422041121), we get a palindrome (543181345).

The spelling of 121140224 in words is "one hundred twenty-one million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 281 421 512 562 842 1024 1124 1684 2248 3368 4496 6736 8992 13472 17984 26944 35968 53888 71936 107776 118301 143872 215552 236602 287744 431104 473204 946408 1892816 3785632 7571264 15142528 30285056 60570112 121140224