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12632882112 = 2632236431483
BaseRepresentation
bin10111100001111101…
…00111101111000000
31012121101222220101200
423300332213233000
5201333004211422
65445314301200
7625024504044
oct136076475700
935541886350
1012632882112
1153a2a29344
122546887800
131264304196
1487bac4024
154de0d62ac
hex2f0fa7bc0

12632882112 has 168 divisors, whose sum is σ = 37868498304. Its totient is φ = 4018899456.

The previous prime is 12632882111. The next prime is 12632882113. The reversal of 12632882112 is 21128823621.

It is a happy number.

12632882112 is a `hidden beast` number, since 1 + 2 + 632 + 8 + 8 + 2 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (12632882111) and next prime (12632882113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12632882111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8517723 + ... + 8519205.

It is an arithmetic number, because the mean of its divisors is an integer number (225407728).

Almost surely, 212632882112 is an apocalyptic number.

12632882112 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 12632882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934249152).

12632882112 is an abundant number, since it is smaller than the sum of its proper divisors (25235616192).

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

12632882112 is a wasteful number, since it uses less digits than its factorization.

12632882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2154 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 12632882112 in words is "twelve billion, six hundred thirty-two million, eight hundred eighty-two thousand, one hundred twelve".