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132201241200 = 243252717421733
BaseRepresentation
bin111101100011111001…
…1101101101001110000
3110122020022221212212200
41323013303231221300
54131222004204300
6140422111223200
712360033003120
oct1730763555160
9418208855780
10132201241200
1151080177236
1221755b17b00
13c60ac4c112
14658198ac80
15368b228200
hex1ec7ceda70

132201241200 has 720 divisors, whose sum is σ = 557234174016. Its totient is φ = 28333670400.

The previous prime is 132201241187. The next prime is 132201241229. The reversal of 132201241200 is 2142102231.

It is a happy number.

132201241200 is a `hidden beast` number, since 1 + 3 + 220 + 1 + 241 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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, 180356034 + ... + 180356766.

Almost surely, 2132201241200 is an apocalyptic number.

132201241200 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 132201241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278617087008).

132201241200 is an abundant number, since it is smaller than the sum of its proper divisors (425032932816).

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

132201241200 is a wasteful number, since it uses less digits than its factorization.

132201241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132201241200 its reverse (2142102231), we get a palindrome (134343343431).

The spelling of 132201241200 in words is "one hundred thirty-two billion, two hundred one million, two hundred forty-one thousand, two hundred".