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120021001321000 = 2353139232384717
BaseRepresentation
bin11011010010100010010001…
…001001100011101000101000
3120201221220011221110200101011
4123102202101021203220220
5111212411002314233000
61103132515320033304
734165142204363233
oct3322422111435050
9521856157420334
10120021001321000
113527369133954a
1211564a5a602834
1351c7c163b4b30
14218d09432841a
15dd204d2642ba
hex6d2891263a28

120021001321000 has 64 divisors (see below), whose sum is σ = 302452923361680. Its totient is φ = 44315446636800.

The previous prime is 120021001320917. The next prime is 120021001321007. The reversal of 120021001321000 is 123100120021.

It can be written as a sum of positive squares in 8 ways, for example, as 9458340516 + 120011542980484 = 97254^2 + 10954978^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (120021001321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4616179359 + ... + 4616205358.

Almost surely, 2120021001321000 is an apocalyptic number.

120021001321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021001321000 is an abundant number, since it is smaller than the sum of its proper divisors (182431922040680).

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

120021001321000 is a wasteful number, since it uses less digits than its factorization.

120021001321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232384751 (or 9232384737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120021001321000 its reverse (123100120021), we get a palindrome (120144101441021).

The spelling of 120021001321000 in words is "one hundred twenty trillion, twenty-one billion, one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 9232384717 18464769434 36929538868 46161923585 73859077736 92323847170 120021001321 184647694340 230809617925 240042002642 369295388680 461619235850 480084005284 600105006605 923238471700 960168010568 1154048089625 1200210013210 1846476943400 2308096179250 2400420026420 3000525033025 4616192358500 4800840052840 6001050066050 9232384717000 12002100132100 15002625165125 24004200264200 30005250330250 60010500660500 120021001321000