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12141043200 = 2932521121367
BaseRepresentation
bin10110100111010100…
…11001111000000000
31011100010111220020200
423103222121320000
5144331101340300
65324424405200
7606603110256
oct132352317000
934303456220
1012141043200
115170336500
12242a016800
1311b6448940
148326545d6
154b0d31200
hex2d3a99e00

12141043200 has 1080 divisors, whose sum is σ = 52199851704. Its totient is φ = 2676326400.

The previous prime is 12141043193. The next prime is 12141043261. The reversal of 12141043200 is 234014121.

12141043200 is a `hidden beast` number, since 12 + 1 + 410 + 43 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 181209567 + ... + 181209633.

Almost surely, 212141043200 is an apocalyptic number.

12141043200 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 12141043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26099925852).

12141043200 is an abundant number, since it is smaller than the sum of its proper divisors (40058808504).

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

12141043200 is a wasteful number, since it uses less digits than its factorization.

12141043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12141043200 its reverse (234014121), we get a palindrome (12375057321).

The spelling of 12141043200 in words is "twelve billion, one hundred forty-one million, forty-three thousand, two hundred".