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12110202000 = 2433531321327
BaseRepresentation
bin10110100011101001…
…10000010010010000
31011020222111000002000
423101310300102100
5144300202431000
65321403354000
7606050006241
oct132164602220
934228430060
1012110202000
115154991006
12241b822900
1311acc3ab00
1482c506cc8
154ad28d000
hex2d1d30490

12110202000 has 480 divisors, whose sum is σ = 47010562560. Its totient is φ = 2978726400.

The previous prime is 12110201993. The next prime is 12110202001. The reversal of 12110202000 is 20201121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12110202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9125337 + ... + 9126663.

It is an arithmetic number, because the mean of its divisors is an integer number (97938672).

Almost surely, 212110202000 is an apocalyptic number.

12110202000 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 12110202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505281280).

12110202000 is an abundant number, since it is smaller than the sum of its proper divisors (34900360560).

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

12110202000 is a wasteful number, since it uses less digits than its factorization.

12110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12110202000 its reverse (20201121), we get a palindrome (12130403121).

The spelling of 12110202000 in words is "twelve billion, one hundred ten million, two hundred two thousand".