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12079798272 = 211382931
BaseRepresentation
bin10110100000000001…
…10001100000000000
31011011212021100000000
423100000301200000
5144214412021042
65314400000000
7605230406523
oct132000614000
934155240000
1012079798272
115139805263
122411600000
1311a6854139
14828470bba
154aa78474c
hex2d0031800

12079798272 has 432 divisors, whose sum is σ = 38686939200. Its totient is φ = 3762339840.

The previous prime is 12079798261. The next prime is 12079798327. The reversal of 12079798272 is 27289797021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389670897 + ... + 389670927.

It is an arithmetic number, because the mean of its divisors is an integer number (89553100).

Almost surely, 212079798272 is an apocalyptic number.

12079798272 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 12079798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343469600).

12079798272 is an abundant number, since it is smaller than the sum of its proper divisors (26607140928).

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

12079798272 is an frugal number, since it uses more digits than its factorization.

12079798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 12079798272 in words is "twelve billion, seventy-nine million, seven hundred ninety-eight thousand, two hundred seventy-two".