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12244412124 = 22327379128203
BaseRepresentation
bin10110110011101001…
…01110011011011100
31011121100000120202100
423121310232123130
5200034032141444
65343000125100
7612266533350
oct133164563334
934540016670
1012244412124
11521371906a
122458766790
13120199b999
14842281460
154b9e4de69
hex2d9d2e6dc

12244412124 has 72 divisors (see below), whose sum is σ = 35466354560. Its totient is φ = 3489145632.

The previous prime is 12244412107. The next prime is 12244412143. The reversal of 12244412124 is 42121444221.

12244412124 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 441 + 212 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 31407 + ... + 159609.

Almost surely, 212244412124 is an apocalyptic number.

12244412124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733177280).

12244412124 is an abundant number, since it is smaller than the sum of its proper divisors (23221942436).

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

12244412124 is a wasteful number, since it uses less digits than its factorization.

12244412124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128599 (or 128594 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 12244412124 its reverse (42121444221), we get a palindrome (54365856345).

The spelling of 12244412124 in words is "twelve billion, two hundred forty-four million, four hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 379 758 1137 1516 2274 2653 3411 4548 5306 6822 7959 10612 13644 15918 23877 31836 47754 95508 128203 256406 384609 512812 769218 897421 1153827 1538436 1794842 2307654 2692263 3589684 4615308 5384526 8076789 10769052 16153578 32307156 48588937 97177874 145766811 194355748 291533622 340122559 437300433 583067244 680245118 874600866 1020367677 1360490236 1749201732 2040735354 3061103031 4081470708 6122206062 12244412124