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132201222120 = 233351147594013
BaseRepresentation
bin111101100011111001…
…1101000111111101000
3110122020022220220201000
41323013303220333220
54131222003101440
6140422110555000
712360032563362
oct1730763507750
9418208826630
10132201222120
1151080163970
1221755b08a60
13c60ac43526
146581983d32
15368b222730
hex1ec7ce8fe8

132201222120 has 512 divisors, whose sum is σ = 499405824000. Its totient is φ = 30827566080.

The previous prime is 132201222119. The next prime is 132201222151. The reversal of 132201222120 is 21222102231.

132201222120 is a `hidden beast` number, since 1 + 322 + 0 + 1 + 222 + 120 = 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 = 132201222093 and 132201222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32941234 + ... + 32945246.

It is an arithmetic number, because the mean of its divisors is an integer number (975402000).

Almost surely, 2132201222120 is an apocalyptic number.

132201222120 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 132201222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249702912000).

132201222120 is an abundant number, since it is smaller than the sum of its proper divisors (367204601880).

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

132201222120 is a wasteful number, since it uses less digits than its factorization.

132201222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4140 counting only the distinct ones).

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

Adding to 132201222120 its reverse (21222102231), we get a palindrome (153423324351).

The spelling of 132201222120 in words is "one hundred thirty-two billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty".