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12000122120 = 23572379103229
BaseRepresentation
bin10110010110100001…
…10101010100001000
31010222022100100212102
423023100311110020
5144034012401440
65302432132532
7603242232530
oct131320652410
933868310772
1012000122120
1150a88353a8
1223aa997148
1311931a829c
1481ba504c0
154a3796b15
hex2cb435508

12000122120 has 256 divisors, whose sum is σ = 33067008000. Its totient is φ = 3831100416.

The previous prime is 12000122111. The next prime is 12000122149. The reversal of 12000122120 is 2122100021.

It is a happy 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, 52402166 + ... + 52402394.

It is an arithmetic number, because the mean of its divisors is an integer number (129168000).

Almost surely, 212000122120 is an apocalyptic number.

12000122120 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 12000122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16533504000).

12000122120 is an abundant number, since it is smaller than the sum of its proper divisors (21066885880).

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

12000122120 is a wasteful number, since it uses less digits than its factorization.

12000122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000122120 its reverse (2122100021), we get a palindrome (14122222141).

The spelling of 12000122120 in words is "twelve billion, one hundred twenty-two thousand, one hundred twenty".