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12002243332200 = 23352117512421467
BaseRepresentation
bin1010111010100111110101…
…1100110100100001101000
31120111101212222022012001020
42232221331130310201220
53033121043243112300
641305430544252440
72346063531015432
oct256517534644150
946441788265036
1012002243332200
113908139510560
12141a147011120
13690a643b36a4
142d6ca98d9652
1515c314d4b8a0
hexaea7d734868

12002243332200 has 192 divisors, whose sum is σ = 40643468651520. Its totient is φ = 2905759200000.

The previous prime is 12002243332187. The next prime is 12002243332243. The reversal of 12002243332200 is 223334220021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 3745867 + ... + 6167333.

It is an arithmetic number, because the mean of its divisors is an integer number (211684732560).

Almost surely, 212002243332200 is an apocalyptic number.

12002243332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002243332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321734325760).

12002243332200 is an abundant number, since it is smaller than the sum of its proper divisors (28641225319320).

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

12002243332200 is a wasteful number, since it uses less digits than its factorization.

12002243332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422248 (or 2422239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12002243332200 its reverse (223334220021), we get a palindrome (12225577552221).

The spelling of 12002243332200 in words is "twelve trillion, two billion, two hundred forty-three million, three hundred thirty-two thousand, two hundred".