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12002000332320 = 25325372272334259
BaseRepresentation
bin1010111010100110111011…
…1101110110011000100000
31120111101021001001111212200
42232221232331312120200
53033120044041113240
641305350504053200
72346054520400115
oct256515675663040
946441231044780
1012002000332320
113908024329109
12141a099764200
13690a25c5228b
142d6c8552290c
1515c2ed84b930
hexaea6ef76620

12002000332320 has 576 divisors, whose sum is σ = 42440359328640. Its totient is φ = 3086283423744.

The previous prime is 12002000332303. The next prime is 12002000332331. The reversal of 12002000332320 is 2323300020021.

It is a happy number.

12002000332320 is a `hidden beast` number, since 1 + 200 + 200 + 0 + 33 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002000332293 and 12002000332302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2818030351 + ... + 2818034609.

It is an arithmetic number, because the mean of its divisors is an integer number (73681179390).

Almost surely, 212002000332320 is an apocalyptic number.

12002000332320 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 12002000332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21220179664320).

12002000332320 is an abundant number, since it is smaller than the sum of its proper divisors (30438358996320).

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

12002000332320 is a wasteful number, since it uses less digits than its factorization.

12002000332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12002000332320 its reverse (2323300020021), we get a palindrome (14325300352341).

The spelling of 12002000332320 in words is "twelve trillion, two billion, three hundred thirty-two thousand, three hundred twenty".