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12312133122000 = 243532052022187
BaseRepresentation
bin1011001100101010010001…
…0100100011011111010000
31121121000202201121120221110
42303022210110203133100
53103210222034401000
642104041010053320
72410344064534365
oct263124424433720
947530681546843
1012312133122000
113a17601197258
12146a21057a240
136b404c12280a
14307ca62b246c
15165400898850
hexb32a45237d0

12312133122000 has 80 divisors (see below), whose sum is σ = 39694317204672. Its totient is φ = 3283235497600.

The previous prime is 12312133121993. The next prime is 12312133122017. The reversal of 12312133122000 is 22133121321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1026005094 + ... + 1026017093.

Almost surely, 212312133122000 is an apocalyptic number.

12312133122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312133122000 is an abundant number, since it is smaller than the sum of its proper divisors (27382184082672).

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

12312133122000 is a wasteful number, since it uses less digits than its factorization.

12312133122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052022213 (or 2052022197 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12312133122000 its reverse (22133121321), we get a palindrome (12334266243321).

The spelling of 12312133122000 in words is "twelve trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2052022187 4104044374 6156066561 8208088748 10260110935 12312133122 16416177496 20520221870 24624266244 30780332805 32832354992 41040443740 49248532488 51300554675 61560665610 82080887480 98497064976 102601109350 123121331220 153901664025 164161774960 205202218700 246242662440 256502773375 307803328050 410404437400 492485324880 513005546750 615606656100 769508320125 820808874800 1026011093500 1231213312200 1539016640250 2052022187000 2462426624400 3078033280500 4104044374000 6156066561000 12312133122000