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12000121000000 = 2656715111353
BaseRepresentation
bin1010111010011111111011…
…1100110001000001000000
31120111012102001202112120221
42232213332330301001000
53033102221434000000
641304440211312424
72345660120340130
oct256477674610100
946435361675527
1012000121000000
11390724a509a01
1214198542ab714
136907b67a6a13
142d6b47ab8ac0
1515c23d87261a
hexae9fef31040

12000121000000 has 392 divisors, whose sum is σ = 34246064144768. Its totient is φ = 4086720000000.

The previous prime is 12000120999973. The next prime is 12000121000019. The reversal of 12000121000000 is 12100021.

12000121000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120001210000003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1056994324 + ... + 1057005676.

Almost surely, 212000121000000 is an apocalyptic number.

12000121000000 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 12000121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123032072384).

12000121000000 is an abundant number, since it is smaller than the sum of its proper divisors (22245943144768).

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

12000121000000 is an frugal number, since it uses more digits than its factorization.

12000121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11553 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12000121000000 its reverse (12100021), we get a palindrome (12000133100021).

The spelling of 12000121000000 in words is "twelve trillion, one hundred twenty-one million", and thus it is an aban number.