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12404412000 = 253253344567
BaseRepresentation
bin10111000110101110…
…00100111001100000
31012000111002102022200
423203113010321200
5200401012141000
65410513333200
7616251522321
oct134327047140
935014072280
1012404412000
115295a70372
1224a2267200
131228b8c376
14859610448
154c9006500
hex2e35c4e60

12404412000 has 144 divisors (see below), whose sum is σ = 44023385952. Its totient is φ = 3307833600.

The previous prime is 12404411933. The next prime is 12404412079. The reversal of 12404412000 is 21440421.

12404412000 is a `hidden beast` number, since 1 + 24 + 0 + 441 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136284 + ... + 208283.

It is an arithmetic number, because the mean of its divisors is an integer number (305717958).

Almost surely, 212404412000 is an apocalyptic number.

12404412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404412000 is an abundant number, since it is smaller than the sum of its proper divisors (31618973952).

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

12404412000 is a wasteful number, since it uses less digits than its factorization.

12404412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344598 (or 344577 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12404412000 its reverse (21440421), we get a palindrome (12425852421).

The spelling of 12404412000 in words is "twelve billion, four hundred four million, four hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 344567 689134 1033701 1378268 1722835 2067402 2756536 3101103 3445670 4134804 5168505 5513072 6202206 6891340 8269608 8614175 10337010 11026144 12404412 13782680 15505515 16539216 17228350 20674020 24808824 25842525 27565360 31011030 33078432 34456700 41348040 43070875 49617648 51685050 55130720 62022060 68913400 77527575 82696080 86141750 99235296 103370100 124044120 129212625 137826800 155055150 165392160 172283500 206740200 248088240 258425250 275653600 310110300 344567000 387637875 413480400 496176480 516850500 620220600 689134000 775275750 826960800 1033701000 1240441200 1378268000 1550551500 2067402000 2480882400 3101103000 4134804000 6202206000 12404412000