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12002102200332 = 22337915152117881
BaseRepresentation
bin1010111010100111010100…
…0010011100100000001100
31120111101112010201221112000
42232221311002130200030
53033120301130402312
641305404543312300
72346060165302316
oct256516502344014
946441463657460
1012002102200332
113908076886052
12141a1078ab690
13690a4109b0ca
142d6c94c7c7b6
1515c30776eadc
hexaea7509c80c

12002102200332 has 192 divisors, whose sum is σ = 31781778739200. Its totient is φ = 3916149120000.

The previous prime is 12002102200321. The next prime is 12002102200391. The reversal of 12002102200332 is 23300220120021.

12002102200332 is a `hidden beast` number, since 1 + 200 + 210 + 220 + 0 + 3 + 32 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 671212032 + ... + 671229912.

It is an arithmetic number, because the mean of its divisors is an integer number (165530097600).

Almost surely, 212002102200332 is an apocalyptic number.

12002102200332 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 12002102200332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890889369600).

12002102200332 is an abundant number, since it is smaller than the sum of its proper divisors (19779676538868).

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

12002102200332 is a wasteful number, since it uses less digits than its factorization.

12002102200332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18645 (or 18637 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12002102200332 its reverse (23300220120021), we get a palindrome (35302322320353).

The spelling of 12002102200332 in words is "twelve trillion, two billion, one hundred two million, two hundred thousand, three hundred thirty-two".