Search a number
-
+
12002212200200 = 235260011061001
BaseRepresentation
bin1010111010100111101110…
…0110000011111100001000
31120111101210210201111222012
42232221323212003330020
53033121012310401300
641305423513115052
72346063002263535
oct256517346037410
946441723644865
1012002212200200
113908122987632
12141a1386b8a88
13690a5ab033a1
142d6ca5713d8c
1515c31224c435
hexaea7b983f08

12002212200200 has 24 divisors (see below), whose sum is σ = 27905143365930. Its totient is φ = 4800884880000.

The previous prime is 12002212200131. The next prime is 12002212200229. The reversal of 12002212200200 is 200221220021.

It can be written as a sum of positive squares in 3 ways, for example, as 11450819816836 + 551392383364 = 3383906^2 + 742558^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30005530301 + ... + 30005530700.

Almost surely, 212002212200200 is an apocalyptic number.

12002212200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002212200200 is an abundant number, since it is smaller than the sum of its proper divisors (15902931165730).

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

12002212200200 is a wasteful number, since it uses less digits than its factorization.

12002212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60011061017 (or 60011061008 counting only the distinct ones).

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

Adding to 12002212200200 its reverse (200221220021), we get a palindrome (12202433420221).

The spelling of 12002212200200 in words is "twelve trillion, two billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60011061001 120022122002 240044244004 300055305005 480088488008 600110610010 1200221220020 1500276525025 2400442440040 3000553050050 6001106100100 12002212200200