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12123132300 = 2234528211823
BaseRepresentation
bin10110100101001100…
…00101000110001100
31011021212210221010000
423102212011012030
5144312010213200
65322544444300
7606264632016
oct132246050614
934255727100
1012123132300
115161212804
122424019690
1311b2817386
148301111b6
154ae494300
hex2d298518c

12123132300 has 180 divisors, whose sum is σ = 39367855296. Its totient is φ = 3227126400.

The previous prime is 12123132299. The next prime is 12123132319. The reversal of 12123132300 is 323132121.

12123132300 is a `hidden beast` number, since 121 + 2 + 313 + 230 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6649189 + ... + 6651011.

Almost surely, 212123132300 is an apocalyptic number.

12123132300 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 12123132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683927648).

12123132300 is an abundant number, since it is smaller than the sum of its proper divisors (27244722996).

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

12123132300 is a wasteful number, since it uses less digits than its factorization.

12123132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2654 counting only the distinct ones).

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

Adding to 12123132300 its reverse (323132121), we get a palindrome (12446264421).

The spelling of 12123132300 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred".