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12002122202000 = 24537857294443
BaseRepresentation
bin1010111010100111011000…
…1110101111101110010000
31120111101120112101010122112
42232221312032233232100
53033120321240431000
641305410540124452
72346060530306240
oct256516616575620
946441515333575
1012002122202000
1139080870a7657
12141a112536728
13690a45282208
142d6c977a7b20
1515c3093c1235
hexaea763afb90

12002122202000 has 80 divisors (see below), whose sum is σ = 33167007449472. Its totient is φ = 4115013321600.

The previous prime is 12002122201859. The next prime is 12002122202003. The reversal of 12002122202000 is 20222120021.

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12002122202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428633222 + ... + 428661221.

Almost surely, 212002122202000 is an apocalyptic number.

12002122202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002122202000 is an abundant number, since it is smaller than the sum of its proper divisors (21164885247472).

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

12002122202000 is an equidigital number, since it uses as much as digits as its factorization.

12002122202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857294473 (or 857294457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12002122202000 its reverse (20222120021), we get a palindrome (12022344322021).

The spelling of 12002122202000 in words is "twelve trillion, two billion, one hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 857294443 1714588886 3429177772 4286472215 6001061101 6858355544 8572944430 12002122202 13716711088 17145888860 21432361075 24004244404 30005305505 34291777720 42864722150 48008488808 60010611010 68583555440 85729444300 96016977616 107161805375 120021222020 150026527525 171458888600 214323610750 240042444040 300053055050 342917777200 428647221500 480084888080 600106110100 750132637625 857294443000 1200212220200 1500265275250 1714588886000 2400424440400 3000530550500 6001061101000 12002122202000