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12112132032 = 26327211133001
BaseRepresentation
bin10110100011111000…
…00111011111000000
31011021010010001120200
423101330013133000
5144301201211112
65321513005200
7606102265200
oct132174073700
934233101520
1012112132032
115155a8a080
1224203b3800
1311b0465440
1482c88a400
154ad51ecdc
hex2d1f077c0

12112132032 has 504 divisors, whose sum is σ = 47461547952. Its totient is φ = 2903040000.

The previous prime is 12112131979. The next prime is 12112132057. The reversal of 12112132032 is 23023121121.

12112132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 12112131996 and 12112132014.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4034532 + ... + 4037532.

It is an arithmetic number, because the mean of its divisors is an integer number (94169738).

Almost surely, 212112132032 is an apocalyptic number.

12112132032 is a gapful number since it is divisible by the number (12) 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 12112132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23730773976).

12112132032 is an abundant number, since it is smaller than the sum of its proper divisors (35349415920).

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

12112132032 is a wasteful number, since it uses less digits than its factorization.

12112132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112132032 its reverse (23023121121), we get a palindrome (35135253153).

The spelling of 12112132032 in words is "twelve billion, one hundred twelve million, one hundred thirty-two thousand, thirty-two".