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12330100200 = 233521153101349
BaseRepresentation
bin10110111101110111…
…00110010111101000
31011211022020222200210
423132323212113220
5200223001201300
65355300501120
7614360056665
oct133673462750
934738228623
1012330100200
115258024860
1224813aa7a0
1312166710a2
1484d7c8a6c
154c2728050
hex2deee65e8

12330100200 has 384 divisors, whose sum is σ = 43028496000. Its totient is φ = 2895360000.

The previous prime is 12330100171. The next prime is 12330100241. The reversal of 12330100200 is 200103321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35329626 + ... + 35329974.

It is an arithmetic number, because the mean of its divisors is an integer number (112053375).

Almost surely, 212330100200 is an apocalyptic number.

12330100200 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 12330100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21514248000).

12330100200 is an abundant number, since it is smaller than the sum of its proper divisors (30698395800).

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

12330100200 is a wasteful number, since it uses less digits than its factorization.

12330100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12330100200 its reverse (200103321), we get a palindrome (12530203521).

The spelling of 12330100200 in words is "twelve billion, three hundred thirty million, one hundred thousand, two hundred".