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12012120211000 = 2353713247353377
BaseRepresentation
bin1010111011001100101000…
…1010000111111000111000
31120112100101022101121122011
42232303022022013320320
53033301310233223000
641314143012135304
72346563352056440
oct256631212077070
946470338347564
1012012120211000
113911347781808
121420042907534
13691979723380
142d756556d120
1515c6e1ed92ba
hexaecca287e38

12012120211000 has 256 divisors, whose sum is σ = 34609543637760. Its totient is φ = 3800029593600.

The previous prime is 12012120210989. The next prime is 12012120211019. The reversal of 12012120211000 is 11202121021.

12012120211000 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 (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225016312 + ... + 225069688.

It is an arithmetic number, because the mean of its divisors is an integer number (135193529835).

Almost surely, 212012120211000 is an apocalyptic number.

12012120211000 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 12012120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304771818880).

12012120211000 is an abundant number, since it is smaller than the sum of its proper divisors (22597423426760).

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

12012120211000 is a wasteful number, since it uses less digits than its factorization.

12012120211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55891 (or 55877 counting only the distinct ones).

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

Adding to 12012120211000 its reverse (11202121021), we get a palindrome (12023322332021).

The spelling of 12012120211000 in words is "twelve trillion, twelve billion, one hundred twenty million, two hundred eleven thousand".