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132121444212 = 223222316457579
BaseRepresentation
bin111101100001100001…
…1010011111101110100
3110122000202210202222200
41323003003103331310
54131041042203322
6140410141024500
712355043513622
oct1730303237564
9418022722880
10132121444212
115103a12460a
1221733255130
13c5c7560274
146575138512
1536842148ac
hex1ec30d3f74

132121444212 has 36 divisors (see below), whose sum is σ = 335471310720. Its totient is φ = 43842987792.

The previous prime is 132121444187. The next prime is 132121444229. The reversal of 132121444212 is 212444121231.

132121444212 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 1 + 444 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8220762 + ... + 8236817.

It is an arithmetic number, because the mean of its divisors is an integer number (9318647520).

Almost surely, 2132121444212 is an apocalyptic number.

132121444212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132121444212 is an abundant number, since it is smaller than the sum of its proper divisors (203349866508).

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

132121444212 is a wasteful number, since it uses less digits than its factorization.

132121444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16457812 (or 16457807 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 132121444212 its reverse (212444121231), we get a palindrome (344565565443).

The spelling of 132121444212 in words is "one hundred thirty-two billion, one hundred twenty-one million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 16457579 32915158 49372737 65830316 98745474 148118211 197490948 296236422 592472844 3670040117 7340080234 11010120351 14680160468 22020240702 33030361053 44040481404 66060722106 132121444212