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12331132200 = 233552487521
BaseRepresentation
bin10110111101111111…
…00010010100101000
31011211101012102100000
423132333202110220
5200223232212300
65355334543000
7614401615512
oct133677422450
934741172300
1012331132200
11525866a152
122481807a60
131216942a3a
1484d9b6bb2
154c287dc00
hex2defe2528

12331132200 has 288 divisors, whose sum is σ = 43116615360. Its totient is φ = 3275251200.

The previous prime is 12331132181. The next prime is 12331132217. The reversal of 12331132200 is 223113321.

12331132200 is a `hidden beast` number, since 1 + 2 + 331 + 132 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23667940 + ... + 23668460.

It is an arithmetic number, because the mean of its divisors is an integer number (149710470).

Almost surely, 212331132200 is an apocalyptic number.

12331132200 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 12331132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558307680).

12331132200 is an abundant number, since it is smaller than the sum of its proper divisors (30785483160).

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

12331132200 is a wasteful number, since it uses less digits than its factorization.

12331132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12331132200 its reverse (223113321), we get a palindrome (12554245521).

The spelling of 12331132200 in words is "twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred".