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12102323200 = 210521123907
BaseRepresentation
bin10110100010101101…
…01100110000000000
31011020102122201101121
423101112230300000
5144241143320300
65320522442024
7605623023052
oct132126546000
934212581347
1012102323200
11515049a600
122419063314
1311ab40c8b6
1482b4558d2
154ac73381a
hex2d15acc00

12102323200 has 198 divisors, whose sum is σ = 32982664148. Its totient is φ = 4399718400.

The previous prime is 12102323197. The next prime is 12102323221. The reversal of 12102323200 is 232320121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3095647 + ... + 3099553.

Almost surely, 212102323200 is an apocalyptic number.

12102323200 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 12102323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491332074).

12102323200 is an abundant number, since it is smaller than the sum of its proper divisors (20880340948).

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

12102323200 is a wasteful number, since it uses less digits than its factorization.

12102323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12102323200 its reverse (232320121), we get a palindrome (12334643321).

The spelling of 12102323200 in words is "twelve billion, one hundred two million, three hundred twenty-three thousand, two hundred".