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12404344120 = 2357246313669
BaseRepresentation
bin10111000110101101…
…10100010100111000
31012000110221222012121
423203112310110320
5200401003002440
65410512051024
7616251120400
oct134326642470
935013858177
1012404344120
115295a24373
1224a2233a74
131228b674bc
148595d3800
154c8ee134a
hex2e35b4538

12404344120 has 96 divisors (see below), whose sum is σ = 32538974400. Its totient is φ = 4243421952.

The previous prime is 12404344111. The next prime is 12404344129. The reversal of 12404344120 is 2144340421.

12404344120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12404344111) and next prime (12404344129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404344129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 900646 + ... + 914314.

It is an arithmetic number, because the mean of its divisors is an integer number (338947650).

Almost surely, 212404344120 is an apocalyptic number.

12404344120 is a gapful number since it is divisible by the number (10) 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 12404344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269487200).

12404344120 is an abundant number, since it is smaller than the sum of its proper divisors (20134630280).

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

12404344120 is a wasteful number, since it uses less digits than its factorization.

12404344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14157 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12404344120 its reverse (2144340421), we get a palindrome (14548684541).

The spelling of 12404344120 in words is "twelve billion, four hundred four million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 463 490 926 980 1852 1960 2315 3241 3704 4630 6482 9260 12964 13669 16205 18520 22687 25928 27338 32410 45374 54676 64820 68345 90748 95683 109352 113435 129640 136690 181496 191366 226870 273380 382732 453740 478415 546760 669781 765464 907480 956830 1339562 1913660 2679124 3348905 3827320 5358248 6328747 6697810 12657494 13395620 25314988 26791240 31643735 44301229 50629976 63287470 88602458 126574940 177204916 221506145 253149880 310108603 354409832 443012290 620217206 886024580 1240434412 1550543015 1772049160 2480868824 3101086030 6202172060 12404344120