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12132210200 = 23521122371307
BaseRepresentation
bin10110100110010001…
…01101011000011000
31011022111220010122112
423103020231120120
5144321321211300
65323511211452
7606435041135
oct132310553030
934274803575
1012132210200
115166353100
122427076b88
1311b4675306
148313d558c
154b0188e35
hex2d322d618

12132210200 has 288 divisors, whose sum is σ = 32915393280. Its totient is φ = 4146912000.

The previous prime is 12132210137. The next prime is 12132210221. The reversal of 12132210200 is 201223121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39518447 + ... + 39518753.

It is an arithmetic number, because the mean of its divisors is an integer number (114289560).

Almost surely, 212132210200 is an apocalyptic number.

12132210200 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 12132210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640).

12132210200 is an abundant number, since it is smaller than the sum of its proper divisors (20783183080).

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

12132210200 is a wasteful number, since it uses less digits than its factorization.

12132210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12132210200 its reverse (201223121), we get a palindrome (12333433321).

The spelling of 12132210200 in words is "twelve billion, one hundred thirty-two million, two hundred ten thousand, two hundred".