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12404132300 = 22527232931857
BaseRepresentation
bin10111000110101100…
…00000100111001100
31012000110120012122102
423203112000213030
5200400424213200
65410503334232
7616246246010
oct134326004714
935013505572
1012404132300
11529589a20a
1224a2151378
131228ac1c71
1485957a540
154c8e9d6d5
hex2e35809cc

12404132300 has 288 divisors, whose sum is σ = 34317803520. Its totient is φ = 3796531200.

The previous prime is 12404132287. The next prime is 12404132309. The reversal of 12404132300 is 323140421.

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

It is not an unprimeable number, because it can be changed into a prime (12404132309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14473472 + ... + 14474328.

It is an arithmetic number, because the mean of its divisors is an integer number (119159040).

Almost surely, 212404132300 is an apocalyptic number.

12404132300 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 12404132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

12404132300 is an abundant number, since it is smaller than the sum of its proper divisors (21913671220).

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

12404132300 is a wasteful number, since it uses less digits than its factorization.

12404132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12404132300 its reverse (323140421), we get a palindrome (12727272721).

The spelling of 12404132300 in words is "twelve billion, four hundred four million, one hundred thirty-two thousand, three hundred".