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12682659220 = 22572111923259
BaseRepresentation
bin10111100111111001…
…00000010110010100
31012201212122211202021
423303330200112110
5201433230043340
65454253222524
7626200552600
oct136374402624
935655584667
1012682659220
115419037650
12255b491a44
131271711caa
14884560500
154e3669e4a
hex2f3f20594

12682659220 has 216 divisors, whose sum is σ = 35681899680. Its totient is φ = 3743832960.

The previous prime is 12682659217. The next prime is 12682659229. The reversal of 12682659220 is 2295628621.

12682659220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12682659229) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3889951 + ... + 3893209.

It is an arithmetic number, because the mean of its divisors is an integer number (165193980).

Almost surely, 212682659220 is an apocalyptic number.

12682659220 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 12682659220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840949840).

12682659220 is an abundant number, since it is smaller than the sum of its proper divisors (22999240460).

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

12682659220 is a wasteful number, since it uses less digits than its factorization.

12682659220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 12682659220 in words is "twelve billion, six hundred eighty-two million, six hundred fifty-nine thousand, two hundred twenty".