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12010660416 = 263229838663
BaseRepresentation
bin10110010111110010…
…00010001001000000
31011000001011202200200
423023321002021000
5144044212113131
65303450045200
7603430633446
oct131371021100
934001152620
1012010660416
115103782a37
1223b2419800
131195427b71
1481d1d4b96
154a46792e6
hex2cbe42240

12010660416 has 168 divisors, whose sum is σ = 36046745280. Its totient is φ = 3818486784.

The previous prime is 12010660381. The next prime is 12010660439. The reversal of 12010660416 is 61406601021.

It is a self number, because there is not a number n which added to its sum of digits gives 12010660416.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1382101 + ... + 1390763.

It is an arithmetic number, because the mean of its divisors is an integer number (214563960).

Almost surely, 212010660416 is an apocalyptic number.

12010660416 is a gapful number since it is divisible by the number (16) 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 12010660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023372640).

12010660416 is an abundant number, since it is smaller than the sum of its proper divisors (24036084864).

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

12010660416 is a wasteful number, since it uses less digits than its factorization.

12010660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12010660416 in words is "twelve billion, ten million, six hundred sixty thousand, four hundred sixteen".