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12004043240 = 2357591076791
BaseRepresentation
bin10110010110111111…
…10010100111101000
31010222120201120122002
423023133302213220
5144041013340430
65303052150132
7603320453420
oct131337624750
933876646562
1012004043240
1150aaa733a2
1223b0168348
131193c4bc87
1481c391480
154a3cbd845
hex2cb7f29e8

12004043240 has 128 divisors (see below), whose sum is σ = 31688755200. Its totient is φ = 4007512320.

The previous prime is 12004043239. The next prime is 12004043243. The reversal of 12004043240 is 4234040021.

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

It is not an unprimeable number, because it can be changed into a prime (12004043243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764245 + ... + 1771035.

It is an arithmetic number, because the mean of its divisors is an integer number (247568400).

Almost surely, 212004043240 is an apocalyptic number.

12004043240 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 12004043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844377600).

12004043240 is an abundant number, since it is smaller than the sum of its proper divisors (19684711960).

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

12004043240 is a wasteful number, since it uses less digits than its factorization.

12004043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12004043240 its reverse (4234040021), we get a palindrome (16238083261).

The spelling of 12004043240 in words is "twelve billion, four million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 107 118 140 214 236 280 295 413 428 472 535 590 749 826 856 1070 1180 1498 1652 2065 2140 2360 2996 3304 3745 4130 4280 5992 6313 6791 7490 8260 12626 13582 14980 16520 25252 27164 29960 31565 33955 44191 47537 50504 54328 63130 67910 88382 95074 126260 135820 176764 190148 220955 237685 252520 271640 353528 380296 400669 441910 475370 726637 801338 883820 950740 1453274 1602676 1767640 1901480 2003345 2804683 2906548 3205352 3633185 4006690 5086459 5609366 5813096 7266370 8013380 10172918 11218732 14023415 14532740 16026760 20345836 22437464 25432295 28046830 29065480 40691672 42871583 50864590 56093660 85743166 101729180 112187320 171486332 203458360 214357915 300101081 342972664 428715830 600202162 857431660 1200404324 1500505405 1714863320 2400808648 3001010810 6002021620 12004043240