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12120021212000 = 2553132338326459
BaseRepresentation
bin1011000001011110100110…
…0011110001101101100000
31120220122220010011101200112
42300113221203301231200
53042033300412241000
641435505541110452
72360433265332332
oct260275143615540
946818803141615
1012120021212000
1139530880078a9
121438b366b8428
1369bbb40c2c20
142dc87da87452
15160409bb6235
hexb05e98f1b60

12120021212000 has 384 divisors, whose sum is σ = 33552546693120. Its totient is φ = 4269178214400.

The previous prime is 12120021211993. The next prime is 12120021212081. The reversal of 12120021212000 is 21212002121.

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, 458054771 + ... + 458081229.

It is an arithmetic number, because the mean of its divisors is an integer number (87376423680).

Almost surely, 212120021212000 is an apocalyptic number.

12120021212000 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 12120021212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16776273346560).

12120021212000 is an abundant number, since it is smaller than the sum of its proper divisors (21432525481120).

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

12120021212000 is a wasteful number, since it uses less digits than its factorization.

12120021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26903 (or 26885 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120021212000 its reverse (21212002121), we get a palindrome (12141233214121).

The spelling of 12120021212000 in words is "twelve trillion, one hundred twenty billion, twenty-one million, two hundred twelve thousand".