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12000012121120 = 2552353199330871
BaseRepresentation
bin1010111010011111100001…
…1101011011010000100000
31120111012010110212220211211
42232213320131123100200
53033102011100333440
641304421321515504
72345654326025032
oct256477035332040
946435113786754
1012000012121120
1139071a4003661
121419823942b94
1369079a074a4a
142d6b37455c52
1515c234016eea
hexae9f875b420

12000012121120 has 192 divisors, whose sum is σ = 30156901737984. Its totient is φ = 4502274416640.

The previous prime is 12000012121043. The next prime is 12000012121121. The reversal of 12000012121120 is 2112121000021.

12000012121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12000012121120.

It is not an unprimeable number, because it can be changed into a prime (12000012121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388699285 + ... + 388730155.

It is an arithmetic number, because the mean of its divisors is an integer number (157067196552).

Almost surely, 212000012121120 is an apocalyptic number.

12000012121120 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 12000012121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078450868992).

12000012121120 is an abundant number, since it is smaller than the sum of its proper divisors (18156889616864).

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

12000012121120 is a wasteful number, since it uses less digits than its factorization.

12000012121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32955 (or 32947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12000012121120 its reverse (2112121000021), we get a palindrome (14112133121141).

The spelling of 12000012121120 in words is "twelve trillion, twelve million, one hundred twenty-one thousand, one hundred twenty".