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12000202000000 = 27566000101
BaseRepresentation
bin1010111010100000001111…
…0001110000011010000000
31120111012121201011202200221
42232220003301300122000
53033102403203000000
641304452223352424
72345662122666544
oct256500361603200
946435551152627
1012000202000000
113907291203455
121419877452714
136907ca4c7306
142d6b54761a24
1515c245a2261a
hexaea03c70680

12000202000000 has 112 divisors (see below), whose sum is σ = 29882938001310. Its totient is φ = 4800080000000.

The previous prime is 12000201999893. The next prime is 12000202000001. The reversal of 12000202000000 is 20200021.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 2233876987456 + 9766325012544 = 1494616^2 + 3125112^2 .

It is not an unprimeable number, because it can be changed into a prime (12000202000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1000051 + ... + 5000050.

Almost surely, 212000202000000 is an apocalyptic number.

12000202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000202000000 is an abundant number, since it is smaller than the sum of its proper divisors (17882736001310).

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

12000202000000 is an frugal number, since it uses more digits than its factorization.

12000202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000145 (or 6000108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 12000202000000 its reverse (20200021), we get a palindrome (12000222200021).

The spelling of 12000202000000 in words is "twelve trillion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 6000101 12000202 24000404 30000505 48000808 60001010 96001616 120002020 150002525 192003232 240004040 300005050 384006464 480008080 600010100 750012625 768012928 960016160 1200020200 1500025250 1920032320 2400040400 3000050500 3750063125 3840064640 4800080800 6000101000 7500126250 9600161600 12000202000 15000252500 18750315625 19200323200 24000404000 30000505000 37500631250 48000808000 60001010000 75001262500 93751578125 96001616000 120002020000 150002525000 187503156250 240004040000 300005050000 375006312500 480008080000 600010100000 750012625000 1200020200000 1500025250000 2400040400000 3000050500000 6000101000000 12000202000000