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12341210240 = 27583379613
BaseRepresentation
bin10110111111001011…
…11110110010000000
31011212002011102210202
423133211332302000
5200233322211430
65400334544332
7614553361532
oct133745766200
934762142722
1012341210240
115263322a07
1224850680a8
131218a60c88
1485107b852
154c36bed45
hex2df97ec80

12341210240 has 128 divisors (see below), whose sum is σ = 29986286400. Its totient is φ = 4856205312.

The previous prime is 12341210183. The next prime is 12341210291. The reversal of 12341210240 is 4201214321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20132174 + ... + 20132786.

Almost surely, 212341210240 is an apocalyptic number.

12341210240 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 12341210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993143200).

12341210240 is an abundant number, since it is smaller than the sum of its proper divisors (17645076160).

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

12341210240 is an equidigital number, since it uses as much as digits as its factorization.

12341210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12341210240 its reverse (4201214321), we get a palindrome (16542424561).

The spelling of 12341210240 in words is "twelve billion, three hundred forty-one million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 379 415 613 640 664 758 830 1226 1328 1516 1660 1895 2452 2656 3032 3065 3320 3790 4904 5312 6064 6130 6640 7580 9808 10624 12128 12260 13280 15160 19616 24256 24520 26560 30320 31457 39232 48512 49040 50879 53120 60640 62914 78464 98080 101758 121280 125828 157285 196160 203516 232327 242560 251656 254395 314570 392320 407032 464654 503312 508790 629140 814064 929308 1006624 1017580 1161635 1258280 1628128 1858616 2013248 2035160 2323270 2516560 3256256 3717232 4026496 4070320 4646540 5033120 6512512 7434464 8140640 9293080 10066240 14868928 16281280 18586160 19283141 20132480 29737856 32562560 37172320 38566282 74344640 77132564 96415705 148689280 154265128 192831410 308530256 385662820 617060512 771325640 1234121024 1542651280 2468242048 3085302560 6170605120 12341210240