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12143075472 = 243611314371
BaseRepresentation
bin10110100111100100…
…01010000010010000
31011100021100011000000
423103302022002100
5144332111403342
65324540130000
7606626303253
oct132362120220
934307304000
1012143075472
1151714a4370
12242a836900
1311b69aa978
14832a2309a
154b10d344c
hex2d3c8a090

12143075472 has 560 divisors, whose sum is σ = 41219076096. Its totient is φ = 3429216000.

The previous prime is 12143075449. The next prime is 12143075513. The reversal of 12143075472 is 27457034121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 171029197 + ... + 171029267.

Almost surely, 212143075472 is an apocalyptic number.

12143075472 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 12143075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609538048).

12143075472 is an abundant number, since it is smaller than the sum of its proper divisors (29076000624).

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

12143075472 is a wasteful number, since it uses less digits than its factorization.

12143075472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12143075472 in words is "twelve billion, one hundred forty-three million, seventy-five thousand, four hundred seventy-two".