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12141103344 = 2432910186357
BaseRepresentation
bin10110100111010101…
…01000100011110000
31011100010121221202020
423103222220203300
5144331110301334
65324425551440
7606603450516
oct132352504360
934303557666
1012141103344
115170377707
12242a045580
1311b646a126
1483266c4b6
154b0d43e49
hex2d3aa88f0

12141103344 has 80 divisors (see below), whose sum is σ = 32767679520. Its totient is φ = 3868748800.

The previous prime is 12141103319. The next prime is 12141103349. The reversal of 12141103344 is 44330114121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141103349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97414 + ... + 183770.

It is an arithmetic number, because the mean of its divisors is an integer number (409595994).

Almost surely, 212141103344 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 12141103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16383839760).

12141103344 is an abundant number, since it is smaller than the sum of its proper divisors (20626576176).

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

12141103344 is a wasteful number, since it uses less digits than its factorization.

12141103344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86498 (or 86492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12141103344 its reverse (44330114121), we get a palindrome (56471217465).

The spelling of 12141103344 in words is "twelve billion, one hundred forty-one million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 1212 1392 1616 2424 2929 4848 5858 8787 11716 17574 23432 35148 46864 70296 86357 140592 172714 259071 345428 518142 690856 1036284 1381712 2072568 2504353 4145136 5008706 7513059 8722057 10017412 15026118 17444114 20034824 26166171 30052236 34888228 40069648 52332342 60104472 69776456 104664684 120208944 139552912 209329368 252939653 418658736 505879306 758818959 1011758612 1517637918 2023517224 3035275836 4047034448 6070551672 12141103344