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12432332000 = 255311436571
BaseRepresentation
bin10111001010000011…
…00101010011100000
31012002102121220100202
423211001211103200
5200430134111000
65413352004332
7620041035614
oct134501452340
935072556322
1012432332000
1152aa800050
1224ab6906a8
1312318b668a
1485d1db344
154cb6bddd5
hex2e50654e0

12432332000 has 192 divisors, whose sum is σ = 34103317248. Its totient is φ = 4415040000.

The previous prime is 12432331993. The next prime is 12432332009. The reversal of 12432332000 is 23323421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432332009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1888715 + ... + 1895285.

It is an arithmetic number, because the mean of its divisors is an integer number (177621444).

Almost surely, 212432332000 is an apocalyptic number.

12432332000 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 12432332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051658624).

12432332000 is an abundant number, since it is smaller than the sum of its proper divisors (21670985248).

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

12432332000 is a wasteful number, since it uses less digits than its factorization.

12432332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12432332000 its reverse (23323421), we get a palindrome (12455655421).

The spelling of 12432332000 in words is "twelve billion, four hundred thirty-two million, three hundred thirty-two thousand".