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12432441252 = 2237112331113167
BaseRepresentation
bin10111001010000011…
…11111111110100100
31012002102211110020010
423211001333332210
5200430201110002
65413354210220
7620042002260
oct134501777644
935072743203
1012432441252
1152aa875140
1224ab723970
13123192431a
1485d2290a0
154cb6e146c
hex2e507ffa4

12432441252 has 384 divisors, whose sum is σ = 39537082368. Its totient is φ = 2944972800.

The previous prime is 12432441233. The next prime is 12432441253. The reversal of 12432441252 is 25214423421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12432441253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74445673 + ... + 74445839.

It is an arithmetic number, because the mean of its divisors is an integer number (102961152).

Almost surely, 212432441252 is an apocalyptic number.

12432441252 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 12432441252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768541184).

12432441252 is an abundant number, since it is smaller than the sum of its proper divisors (27104641116).

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

12432441252 is a wasteful number, since it uses less digits than its factorization.

12432441252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 12432441252 its reverse (25214423421), we get a palindrome (37646864673).

The spelling of 12432441252 in words is "twelve billion, four hundred thirty-two million, four hundred forty-one thousand, two hundred fifty-two".