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12201300132120 = 233251153271214519
BaseRepresentation
bin1011000110001101011000…
…1010010000000100011000
31121012102200120210100021100
42301203112022100010120
53044401230313211440
641541111102311400
72366341406630121
oct261432612200430
947172616710240
1012201300132120
1139845a6923560
12145083a888560
136a6768191bb8
14302790617048
151625b55ae230
hexb18d6290118

12201300132120 has 384 divisors, whose sum is σ = 44238211430400. Its totient is φ = 2891359411200.

The previous prime is 12201300132041. The next prime is 12201300132127. The reversal of 12201300132120 is 2123100310221.

12201300132120 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 300 + 1 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12201300132093 and 12201300132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201300132127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56770221 + ... + 56984739.

It is an arithmetic number, because the mean of its divisors is an integer number (115203675600).

Almost surely, 212201300132120 is an apocalyptic number.

12201300132120 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 12201300132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22119105715200).

12201300132120 is an abundant number, since it is smaller than the sum of its proper divisors (32036911298280).

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

12201300132120 is a wasteful number, since it uses less digits than its factorization.

12201300132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214871 (or 214864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12201300132120 its reverse (2123100310221), we get a palindrome (14324400442341).

The spelling of 12201300132120 in words is "twelve trillion, two hundred one billion, three hundred million, one hundred thirty-two thousand, one hundred twenty".