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12202341144 = 2337481315091
BaseRepresentation
bin10110101110101000…
…01111001100011000
31011111101212011012220
423113110033030120
5144442244404034
65334454304040
7611246121420
oct132724171430
934441764186
1012202341144
1151a19a3564
122446658020
1311c605b606
1483a84d480
154b63dd749
hex2d750f318

12202341144 has 64 divisors (see below), whose sum is σ = 34873386240. Its totient is φ = 3485427840.

The previous prime is 12202341127. The next prime is 12202341181. The reversal of 12202341144 is 44114320221.

12202341144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801039 + ... + 816129.

It is an arithmetic number, because the mean of its divisors is an integer number (544896660).

Almost surely, 212202341144 is an apocalyptic number.

12202341144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12202341144 is an abundant number, since it is smaller than the sum of its proper divisors (22671045096).

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

12202341144 is a wasteful number, since it uses less digits than its factorization.

12202341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19920 (or 19916 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12202341144 its reverse (44114320221), we get a palindrome (56316661365).

The spelling of 12202341144 in words is "twelve billion, two hundred two million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4813 9626 14439 15091 19252 28878 30182 33691 38504 45273 57756 60364 67382 90546 101073 105637 115512 120728 134764 181092 202146 211274 269528 316911 362184 404292 422548 633822 808584 845096 1267644 2535288 72632983 145265966 217898949 290531932 435797898 508430881 581063864 871595796 1016861762 1525292643 1743191592 2033723524 3050585286 4067447048 6101170572 12202341144