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12132043200 = 2632521749559
BaseRepresentation
bin10110100110010000…
…00100100111000000
31011022111120122120100
423103020010213000
5144321300340300
65323503442400
7606433444224
oct132310044700
934274518510
1012132043200
115166249692
122426bb6400
1311b46172b4
14831390784
154b0154700
hex2d32049c0

12132043200 has 252 divisors, whose sum is σ = 45657546480. Its totient is φ = 3044843520.

The previous prime is 12132043129. The next prime is 12132043201. The reversal of 12132043200 is 234023121.

12132043200 is a `hidden beast` number, since 1 + 21 + 320 + 4 + 320 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132043201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220021 + ... + 269579.

It is an arithmetic number, because the mean of its divisors is an integer number (181180740).

Almost surely, 212132043200 is an apocalyptic number.

12132043200 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 12132043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22828773240).

12132043200 is an abundant number, since it is smaller than the sum of its proper divisors (33525503280).

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

12132043200 is a wasteful number, since it uses less digits than its factorization.

12132043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49604 (or 49586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12132043200 its reverse (234023121), we get a palindrome (12366066321).

The spelling of 12132043200 in words is "twelve billion, one hundred thirty-two million, forty-three thousand, two hundred".