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12165397020 = 2233577145329
BaseRepresentation
bin10110101010001110…
…10011101000011100
31011101211100012102000
423111013103220130
5144403320201040
65331054402300
7610320111540
oct132507235034
934354305360
1012165397020
11518305a927
122436200390
1311bb4c499a
14835993a20
154b3042130
hex2d51d3a1c

12165397020 has 192 divisors, whose sum is σ = 43864934400. Its totient is φ = 2741437440.

The previous prime is 12165397009. The next prime is 12165397031. The reversal of 12165397020 is 2079356121.

12165397020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12165397009) and next prime (12165397031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245716 + ... + 291044.

It is an arithmetic number, because the mean of its divisors is an integer number (228463200).

Almost surely, 212165397020 is an apocalyptic number.

12165397020 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 12165397020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21932467200).

12165397020 is an abundant number, since it is smaller than the sum of its proper divisors (31699537380).

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

12165397020 is a wasteful number, since it uses less digits than its factorization.

12165397020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45425 (or 45417 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12165397020 in words is "twelve billion, one hundred sixty-five million, three hundred ninety-seven thousand, twenty".