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12660072542208 = 2123272134431217
BaseRepresentation
bin1011100000111010011100…
…1000000111000000000000
31122211021212020000111020100
42320032213020013000000
53124410312032322313
642531542415242400
72444442254030400
oct270164710070000
948737766014210
1012660072542208
1140411199a24a3
121505734819400
1370aabbb25c50
1431aa721da800
1516e4b6a70173
hexb83a7207000

12660072542208 has 936 divisors, whose sum is σ = 45952953319728. Its totient is φ = 3328645791744.

The previous prime is 12660072542179. The next prime is 12660072542281. The reversal of 12660072542208 is 80224527006621.

12660072542208 is a `hidden beast` number, since 1 + 26 + 60 + 0 + 7 + 2 + 542 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10402688416 + ... + 10402689632.

It is an arithmetic number, because the mean of its divisors is an integer number (49095035598).

Almost surely, 212660072542208 is an apocalyptic number.

12660072542208 is a gapful number since it is divisible by the number (18) 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 12660072542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976476659864).

12660072542208 is an abundant number, since it is smaller than the sum of its proper divisors (33292880777520).

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

12660072542208 is a wasteful number, since it uses less digits than its factorization.

12660072542208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 12660072542208 its reverse (80224527006621), we get a palindrome (92884599548829).

The spelling of 12660072542208 in words is "twelve trillion, six hundred sixty billion, seventy-two million, five hundred forty-two thousand, two hundred eight".