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12165330450 = 23527213196701
BaseRepresentation
bin10110101010001110…
…00011011000010010
31011101211012211002110
423111013003120102
5144403311033300
65331053130150
7610316413500
oct132507033022
934354184073
1012165330450
115183014909
122436189956
1311bb4a05b0
14835977670
154b302c550
hex2d51c3612

12165330450 has 288 divisors, whose sum is σ = 39790578240. Its totient is φ = 2431296000.

The previous prime is 12165330413. The next prime is 12165330479. The reversal of 12165330450 is 5403356121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1812100 + ... + 1818800.

It is an arithmetic number, because the mean of its divisors is an integer number (138161730).

Almost surely, 212165330450 is an apocalyptic number.

12165330450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12165330450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895289120).

12165330450 is an abundant number, since it is smaller than the sum of its proper divisors (27625247790).

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

12165330450 is a wasteful number, since it uses less digits than its factorization.

12165330450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 12165330450 its reverse (5403356121), we get a palindrome (17568686571).

The spelling of 12165330450 in words is "twelve billion, one hundred sixty-five million, three hundred thirty thousand, four hundred fifty".