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12341132423200 = 255274746888801
BaseRepresentation
bin1011001110010110010011…
…0100000111000000100000
31121200210121201220201122001
42303211210310013000200
53104144114400020300
642125234333453344
72412421523532130
oct263454464070040
947623551821561
1012341132423200
113a2893257a489
121473964341254
136b69c1094639
1430945786aac0
1516604b70416a
hexb3964d07020

12341132423200 has 144 divisors (see below), whose sum is σ = 35164350837504. Its totient is φ = 4141218816000.

The previous prime is 12341132423177. The next prime is 12341132423231. The reversal of 12341132423200 is 232423114321.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 23181201 + ... + 23707600.

It is an arithmetic number, because the mean of its divisors is an integer number (244196880816).

Almost surely, 212341132423200 is an apocalyptic number.

12341132423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341132423200 is an abundant number, since it is smaller than the sum of its proper divisors (22823218414304).

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

12341132423200 is a wasteful number, since it uses less digits than its factorization.

12341132423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46888875 (or 46888862 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12341132423200 its reverse (232423114321), we get a palindrome (12573555537521).

The spelling of 12341132423200 in words is "twelve trillion, three hundred forty-one billion, one hundred thirty-two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 70 80 94 100 112 140 160 175 188 200 224 235 280 329 350 376 400 470 560 658 700 752 800 940 1120 1175 1316 1400 1504 1645 1880 2350 2632 2800 3290 3760 4700 5264 5600 6580 7520 8225 9400 10528 13160 16450 18800 26320 32900 37600 52640 65800 131600 263200 46888801 93777602 187555204 234444005 328221607 375110408 468888010 656443214 750220816 937776020 1172220025 1312886428 1500441632 1641108035 1875552040 2203773647 2344440050 2625772856 3282216070 3751104080 4407547294 4688880100 5251545712 6564432140 7502208160 8205540175 8815094588 9377760200 10503091424 11018868235 13128864280 15426415529 16411080350 17630189176 18755520400 22037736470 26257728560 30852831058 32822160700 35260378352 37511040800 44075472940 52515457120 55094341175 61705662116 65644321400 70520756704 77132077645 88150945880 110188682350 123411324232 131288642800 154264155290 176301891760 220377364700 246822648464 262577285600 308528310580 352603783520 385660388225 440754729400 493645296928 617056621160 771320776450 881509458800 1234113242320 1542641552900 1763018917600 2468226484640 3085283105800 6170566211600 12341132423200