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12242184144 = 24310110923167
BaseRepresentation
bin10110110011011000…
…01110011111010000
31011121011211101112120
423121230032133100
5200032444343034
65342440254240
7612241563651
oct133154163720
934534741476
1012242184144
115212437163
122457a71380
13120139b858
14841c61528
154b9b5dc49
hex2d9b0e7d0

12242184144 has 80 divisors (see below), whose sum is σ = 32233175040. Its totient is φ = 4003084800.

The previous prime is 12242184133. The next prime is 12242184161. The reversal of 12242184144 is 44148124221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516849 + ... + 540015.

It is an arithmetic number, because the mean of its divisors is an integer number (402914688).

Almost surely, 212242184144 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 12242184144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116587520).

12242184144 is an abundant number, since it is smaller than the sum of its proper divisors (19990990896).

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

12242184144 is a wasteful number, since it uses less digits than its factorization.

12242184144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23388 (or 23382 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The spelling of 12242184144 in words is "twelve billion, two hundred forty-two million, one hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 109 202 218 303 327 404 436 606 654 808 872 1212 1308 1616 1744 2424 2616 4848 5232 11009 22018 23167 33027 44036 46334 66054 69501 88072 92668 132108 139002 176144 185336 264216 278004 370672 528432 556008 1112016 2339867 2525203 4679734 5050406 7019601 7575609 9359468 10100812 14039202 15151218 18718936 20201624 28078404 30302436 37437872 40403248 56156808 60604872 112313616 121209744 255045503 510091006 765136509 1020182012 1530273018 2040364024 3060546036 4080728048 6121092072 12242184144