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12076052352 = 273721349369
BaseRepresentation
bin10110011111100100…
…11110111110000000
31011011121020000120020
423033302132332000
5144212432133402
65314143413440
7605153515500
oct131762367600
934147200506
1012076052352
115137686961
1224102b4280
1311a5b42110
14827b77a00
154aa2948bc
hex2cfc9ef80

12076052352 has 192 divisors, whose sum is σ = 40185205200. Its totient is φ = 3184828416.

The previous prime is 12076052321. The next prime is 12076052353. The reversal of 12076052352 is 25325067021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12076052353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219924 + ... + 269292.

Almost surely, 212076052352 is an apocalyptic number.

12076052352 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 12076052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092602600).

12076052352 is an abundant number, since it is smaller than the sum of its proper divisors (28109152848).

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

12076052352 is a wasteful number, since it uses less digits than its factorization.

12076052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49413 (or 49394 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 12076052352 in words is "twelve billion, seventy-six million, fifty-two thousand, three hundred fifty-two".