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12121344 = 28325261
BaseRepresentation
bin101110001111…
…010100000000
3211210211100200
4232033110000
511100340334
61111445200
7205013124
oct56172400
924724320
1012121344
116929a44
124086800
1326852c1
141877584
1510e6799
hexb8f500

12121344 has 54 divisors (see below), whose sum is σ = 34955466. Its totient is φ = 4039680.

The previous prime is 12121337. The next prime is 12121367. The reversal of 12121344 is 44312121.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 831744 = 3360^2 + 912^2 .

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

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 327 + ... + 4934.

Almost surely, 212121344 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 12121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477733).

12121344 is an abundant number, since it is smaller than the sum of its proper divisors (22834122).

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

12121344 is an equidigital number, since it uses as much as digits as its factorization.

12121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5266 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12121344 is about 3481.5720587114. The cubic root of 12121344 is about 229.7119519435.

Adding to 12121344 its reverse (44312121), we get a palindrome (56433465).

It can be divided in two parts, 1212 and 1344, that added together give a triangular number (2556 = T71).

The spelling of 12121344 in words is "twelve million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5261 10522 15783 21044 31566 42088 47349 63132 84176 94698 126264 168352 189396 252528 336704 378792 505056 673408 757584 1010112 1346816 1515168 2020224 3030336 4040448 6060672 12121344