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12350131200 = 2103252112443
BaseRepresentation
bin10111000000010000…
…00000110000000000
31011212200221200001200
423200020000300000
5200243113144300
65401254101200
7615022245261
oct134010006000
934780850050
1012350131200
115268366400
12248804a800
13121a865654
14852320968
154c4383200
hex2e0200c00

12350131200 has 594 divisors, whose sum is σ = 48714415932. Its totient is φ = 2987212800.

The previous prime is 12350131169. The next prime is 12350131201. The reversal of 12350131200 is 213105321.

12350131200 is a `hidden beast` number, since 1 + 2 + 350 + 1 + 312 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12350131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27878179 + ... + 27878621.

Almost surely, 212350131200 is an apocalyptic number.

12350131200 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 12350131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24357207966).

12350131200 is an abundant number, since it is smaller than the sum of its proper divisors (36364284732).

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

12350131200 is a wasteful number, since it uses less digits than its factorization.

12350131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12350131200 its reverse (213105321), we get a palindrome (12563236521).

The spelling of 12350131200 in words is "twelve billion, three hundred fifty million, one hundred thirty-one thousand, two hundred".