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12093297216 = 26372111389101
BaseRepresentation
bin10110100001101000…
…10001001001000000
31011012210200011001220
423100310101021000
5144231341002331
65320001155040
7605453221200
oct132064211100
934183604056
1012093297216
115146395210
12241602ba80
1311a959c490
1482a186400
154aba4e296
hex2d0d11240

12093297216 has 672 divisors, whose sum is σ = 44657101440. Its totient is φ = 2838528000.

The previous prime is 12093297197. The next prime is 12093297233. The reversal of 12093297216 is 61279239021.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119735566 + ... + 119735666.

It is an arithmetic number, because the mean of its divisors is an integer number (66454020).

Almost surely, 212093297216 is an apocalyptic number.

12093297216 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 12093297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328550720).

12093297216 is an abundant number, since it is smaller than the sum of its proper divisors (32563804224).

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

12093297216 is a wasteful number, since it uses less digits than its factorization.

12093297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 12093297216 in words is "twelve billion, ninety-three million, two hundred ninety-seven thousand, two hundred sixteen".