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12002021121000 = 23353712793627
BaseRepresentation
bin1010111010100111000000…
…1101001001101111101000
31120111101022111011200120210
42232221300031021233220
53033120114401333000
641305352525421120
72346055162162401
oct256516015115750
946441274150523
1012002021121000
113908035037a39
12141a0a470a7a0
13690a2a350681
142d6c881b49a8
1515c3005a6350
hexaea70349be8

12002021121000 has 192 divisors, whose sum is σ = 37981194863040. Its totient is φ = 3155456976000.

The previous prime is 12002021120981. The next prime is 12002021121001. The reversal of 12002021121000 is 12112020021.

12002021121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12002021121001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14726187 + ... + 15519813.

It is an arithmetic number, because the mean of its divisors is an integer number (197818723245).

Almost surely, 212002021121000 is an apocalyptic number.

12002021121000 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 12002021121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990597431520).

12002021121000 is an abundant number, since it is smaller than the sum of its proper divisors (25979173742040).

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

12002021121000 is an equidigital number, since it uses as much as digits as its factorization.

12002021121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793793 (or 793708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002021121000 its reverse (12112020021), we get a palindrome (12014133141021).

The spelling of 12002021121000 in words is "twelve trillion, two billion, twenty-one million, one hundred twenty-one thousand".