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12000101120200 = 2352433138569297
BaseRepresentation
bin1010111010011111110111…
…0000111011100011001000
31120111012100200100112122001
42232213331300323203020
53033102201341321300
641304434221240344
72345656456351414
oct256477560734310
946435320315561
1012000101120200
11390723a270a16
1214198497030b4
136907b263621b
142d6b451c1d44
1515c23bc4716a
hexae9fdc3b8c8

12000101120200 has 48 divisors (see below), whose sum is σ = 27964670029380. Its totient is φ = 4788954869760.

The previous prime is 12000101120153. The next prime is 12000101120201. The reversal of 12000101120200 is 202110100021.

It can be written as a sum of positive squares in 6 ways, for example, as 200505137284 + 11799595982916 = 447778^2 + 3435054^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12000101120201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69198049 + ... + 69371248.

Almost surely, 212000101120200 is an apocalyptic number.

12000101120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000101120200 is an abundant number, since it is smaller than the sum of its proper divisors (15964568909180).

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

12000101120200 is a wasteful number, since it uses less digits than its factorization.

12000101120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138569746 (or 138569737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000101120200 its reverse (202110100021), we get a palindrome (12202211220221).

The spelling of 12000101120200 in words is "twelve trillion, one hundred one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 433 866 1732 2165 3464 4330 8660 10825 17320 21650 43300 86600 138569297 277138594 554277188 692846485 1108554376 1385692970 2771385940 3464232425 5542771880 6928464850 13856929700 27713859400 60000505601 120001011202 240002022404 300002528005 480004044808 600005056010 1200010112020 1500012640025 2400020224040 3000025280050 6000050560100 12000101120200