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121344 = 29379
BaseRepresentation
bin11101101000000000
320011110020
4131220000
512340334
62333440
71013526
oct355000
9204406
10121344
1183193
125a280
1343302
1432316
1525e49
hex1da00

121344 has 40 divisors (see below), whose sum is σ = 327360. Its totient is φ = 39936.

The previous prime is 121343. The next prime is 121349. The reversal of 121344 is 443121.

Adding to 121344 its reverse (443121), we get a palindrome (564465).

It can be divided in two parts, 121 and 344, that added together give a triangular number (465 = T30).

121344 = T107 + T108 + ... + T124.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (121343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1497 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2121344 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 121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680).

121344 is an abundant number, since it is smaller than the sum of its proper divisors (206016).

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

121344 is an frugal number, since it uses more digits than its factorization.

121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 121344 is about 348.3446569132. The cubic root of 121344 is about 49.5077020971.

The spelling of 121344 in words is "one hundred twenty-one thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 3792 5056 7584 10112 15168 20224 30336 40448 60672 121344