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12340341002000 = 2453111108750593
BaseRepresentation
bin1011001110010011010110…
…1001000100111100010000
31121200201120120201100211202
42303210311221010330100
53104141004244031000
642125024022530332
72412363103545524
oct263446551047420
947621516640752
1012340341002000
113a28566868a80
1214737832969a8
136b68c612647b
143093c06d5d84
15166001ec3dd5
hexb3935a44f10

12340341002000 has 160 divisors (see below), whose sum is σ = 32555155336704. Its totient is φ = 4486903296000.

The previous prime is 12340341001973. The next prime is 12340341002029. The reversal of 12340341002000 is 20014304321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243888704 + ... + 243939296.

Almost surely, 212340341002000 is an apocalyptic number.

12340341002000 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 12340341002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277577668352).

12340341002000 is an abundant number, since it is smaller than the sum of its proper divisors (20214814334704).

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

12340341002000 is a wasteful number, since it uses less digits than its factorization.

12340341002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61714 (or 61698 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12340341002000 its reverse (20014304321), we get a palindrome (12360355306321).

The spelling of 12340341002000 in words is "twelve trillion, three hundred forty billion, three hundred forty-one million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 11087 22000 22174 44348 50593 55435 88696 101186 110870 121957 177392 202372 221740 243914 252965 277175 404744 443480 487828 505930 554350 556523 609785 809488 886960 975656 1011860 1108700 1113046 1219570 1264825 1385875 1951312 2023720 2217400 2226092 2439140 2529650 2771750 2782615 3048925 4047440 4434800 4452184 4878280 5059300 5543500 5565230 6097850 6324125 8904368 9756560 10118600 11087000 11130460 12195700 12648250 13913075 15244625 20237200 22174000 22260920 24391400 25296500 27826150 30489250 44521840 48782800 50593000 55652300 60978500 69565375 101186000 111304600 121957000 139130750 222609200 243914000 278261500 556523000 560924591 1113046000 1121849182 2243698364 2804622955 4487396728 5609245910 6170170501 8974793456 11218491820 12340341002 14023114775 22436983640 24680682004 28046229550 30850852505 44873967280 49361364008 56092459100 61701705010 70115573875 98722728016 112184918200 123403410020 140231147750 154254262525 224369836400 246806820040 280462295500 308508525050 493613640080 560924591000 617017050100 771271312625 1121849182000 1234034100200 1542542625250 2468068200400 3085085250500 6170170501000 12340341002000