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132330121200 = 24385250423
BaseRepresentation
bin111101100111101111…
…1010110011111110000
3110122120022110200000000
41323033133112133300
54132003002334300
6140442553430000
712363156320424
oct1731737263760
9418508420000
10132330121200
11511369a3732
122179110b300
13c62b864b84
146594b38b84
1536976d4c00
hex1ecf7d67f0

132330121200 has 270 divisors, whose sum is σ = 476869903224. Its totient is φ = 35287332480.

The previous prime is 132330121177. The next prime is 132330121201. The reversal of 132330121200 is 2121033231.

132330121200 is a `hidden beast` number, since 1 + 323 + 301 + 21 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×1323301212002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330121201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2599189 + ... + 2649611.

Almost surely, 2132330121200 is an apocalyptic number.

132330121200 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 132330121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238434951612).

132330121200 is an abundant number, since it is smaller than the sum of its proper divisors (344539782024).

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

132330121200 is an frugal number, since it uses more digits than its factorization.

132330121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50465 (or 50433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132330121200 its reverse (2121033231), we get a palindrome (134451154431).

The spelling of 132330121200 in words is "one hundred thirty-two billion, three hundred thirty million, one hundred twenty-one thousand, two hundred".