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12089008134720 = 2632511448185159
BaseRepresentation
bin1010111111101011000100…
…0010010001101001000000
31120210200211202120211112200
42233322301002101221000
53041031242040302340
641413340315153200
72355254614455366
oct257726102215100
946720752524480
1012089008134720
113940a12a28920
121432b20445800
13698cb0b9251a
142db17ac89636
1515e6e2176330
hexafeb1091a40

12089008134720 has 336 divisors, whose sum is σ = 45371911328640. Its totient is φ = 2929980211200.

The previous prime is 12089008134689. The next prime is 12089008134727. The reversal of 12089008134720 is 2743180098021.

It is a happy number.

12089008134720 is a `hidden beast` number, since 1 + 20 + 89 + 0 + 0 + 81 + 3 + 472 + 0 = 666.

It is a super-2 number, since 2×120890081347202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12089008134727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141915501 + ... + 142000659.

Almost surely, 212089008134720 is an apocalyptic number.

12089008134720 is a gapful number since it is divisible by the number (10) 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 12089008134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685955664320).

12089008134720 is an abundant number, since it is smaller than the sum of its proper divisors (33282903193920).

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

12089008134720 is a wasteful number, since it uses less digits than its factorization.

12089008134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89674 (or 89661 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12089008134720 in words is "twelve trillion, eighty-nine billion, eight million, one hundred thirty-four thousand, seven hundred twenty".