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12112452000 = 2532531173419
BaseRepresentation
bin10110100011111010…
…10101100110100000
31011021010201022111100
423101331111212200
5144301241431000
65321523514400
7606105100065
oct132175254640
934233638440
1012112452000
115156188510
122420528a00
1311b0547c7c
1482c930c6c
154ad584a00
hex2d1f559a0

12112452000 has 576 divisors, whose sum is σ = 47650861440. Its totient is φ = 2889216000.

The previous prime is 12112451999. The next prime is 12112452041. The reversal of 12112452000 is 25421121.

12112452000 is a `hidden beast` number, since 1 + 21 + 124 + 520 + 0 + 0 = 666.

12112452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121124520002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28907791 + ... + 28908209.

It is an arithmetic number, because the mean of its divisors is an integer number (82727190).

Almost surely, 212112452000 is an apocalyptic number.

12112452000 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 12112452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23825430720).

12112452000 is an abundant number, since it is smaller than the sum of its proper divisors (35538409440).

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

12112452000 is a wasteful number, since it uses less digits than its factorization.

12112452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12112452000 its reverse (25421121), we get a palindrome (12137873121).

The spelling of 12112452000 in words is "twelve billion, one hundred twelve million, four hundred fifty-two thousand".