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12113132020200 = 233252311015034273
BaseRepresentation
bin1011000001000100111011…
…1011100110000111101000
31120220000002222221012011200
42300101032323212013220
53041430143244121300
641432410201524200
72360100463222131
oct260211673460750
946800088835150
1012113132020200
113950172267062
1214377334a3660
1369b356a46183
142dc3c8b32c88
15160154e89200
hexb044eee61e8

12113132020200 has 576 divisors, whose sum is σ = 42502209684480. Its totient is φ = 3088143360000.

The previous prime is 12113132020193. The next prime is 12113132020217. The reversal of 12113132020200 is 202023131121.

12113132020200 is a `hidden beast` number, since 12 + 1 + 131 + 320 + 2 + 0 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2834805264 + ... + 2834809536.

It is an arithmetic number, because the mean of its divisors is an integer number (73788558480).

Almost surely, 212113132020200 is an apocalyptic number.

12113132020200 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 12113132020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251104842240).

12113132020200 is an abundant number, since it is smaller than the sum of its proper divisors (30389077664280).

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

12113132020200 is a wasteful number, since it uses less digits than its factorization.

12113132020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4918 counting only the distinct ones).

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

Adding to 12113132020200 its reverse (202023131121), we get a palindrome (12315155151321).

The spelling of 12113132020200 in words is "twelve trillion, one hundred thirteen billion, one hundred thirty-two million, twenty thousand, two hundred".