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12119279872 = 287173141313
BaseRepresentation
bin10110100100101110…
…11000100100000000
31011021121120012120111
423102113120210000
5144310013423442
65322330121104
7606220115320
oct132227304400
934247505514
1012119279872
11515a021387
122422880194
1311b1a98a2b
1482d7cb280
154ade82b17
hex2d25d8900

12119279872 has 288 divisors, whose sum is σ = 31053625344. Its totient is φ = 4600627200.

The previous prime is 12119279869. The next prime is 12119279873. The reversal of 12119279872 is 27897291121.

It is not an unprimeable number, because it can be changed into a prime (12119279873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38719588 + ... + 38719900.

It is an arithmetic number, because the mean of its divisors is an integer number (107825088).

Almost surely, 212119279872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12119279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15526812672).

12119279872 is an abundant number, since it is smaller than the sum of its proper divisors (18934345472).

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

12119279872 is a wasteful number, since it uses less digits than its factorization.

12119279872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its digits is 254016, while the sum is 49.

The spelling of 12119279872 in words is "twelve billion, one hundred nineteen million, two hundred seventy-nine thousand, eight hundred seventy-two".