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12335883321000 = 233534111961107
BaseRepresentation
bin1011001110000010101111…
…1100010111111010101000
31121200022001220210201002110
42303200223330113322220
53104102342112233000
642123005423202320
72412144455102151
oct263405374277250
947608056721073
1012335883321000
113a266895a2298
12147293a4463a0
136b6365748bc5
143090ba684928
15165d40994850
hexb382bf17ea8

12335883321000 has 64 divisors (see below), whose sum is σ = 38487955970880. Its totient is φ = 3289568884800.

The previous prime is 12335883320977. The next prime is 12335883321011. The reversal of 12335883321000 is 12338853321.

It is a self number, because there is not a number n which added to its sum of digits gives 12335883321000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055977554 + ... + 2055983553.

It is an arithmetic number, because the mean of its divisors is an integer number (601374312045).

Almost surely, 212335883321000 is an apocalyptic number.

12335883321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12335883321000 is an abundant number, since it is smaller than the sum of its proper divisors (26152072649880).

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

12335883321000 is a wasteful number, since it uses less digits than its factorization.

12335883321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111961131 (or 4111961117 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 12335883321000 in words is "twelve trillion, three hundred thirty-five billion, eight hundred eighty-three million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4111961107 8223922214 12335883321 16447844428 20559805535 24671766642 32895688856 41119611070 49343533284 61679416605 82239222140 98687066568 102799027675 123358833210 164478444280 205598055350 246717666420 308397083025 411196110700 493435332840 513995138375 616794166050 822392221400 1027990276750 1233588332100 1541985415125 2055980553500 2467176664200 3083970830250 4111961107000 6167941660500 12335883321000