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132122132221212 = 223274723961975403
BaseRepresentation
bin11110000010101000010100…
…110000100000110100011100
3122022210202022120011210212100
4132002220110300200310130
5114304142111322034322
61145000023012205100
736554336414025360
oct3602502460406434
9568722276153770
10132122132221212
1139109755249521
121299a1a2909790
1358950a9993773
14248aa6122b2a0
151041bee80adac
hex782a14c20d1c

132122132221212 has 288 divisors, whose sum is σ = 392075705548800. Its totient is φ = 36731496767616.

The previous prime is 132122132221159. The next prime is 132122132221241. The reversal of 132122132221212 is 212122231221231.

132122132221212 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 221 + 3 + 2 + 221 + 212 = 666.

It is a super-3 number, since 3×1321221322212123 (a number of 43 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1752175503 + ... + 1752250905.

It is an arithmetic number, because the mean of its divisors is an integer number (1361373977600).

Almost surely, 2132122132221212 is an apocalyptic number.

132122132221212 is a gapful number since it is divisible by the number (12) 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 132122132221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196037852774400).

132122132221212 is an abundant number, since it is smaller than the sum of its proper divisors (259953573327588).

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

132122132221212 is a wasteful number, since it uses less digits than its factorization.

132122132221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76325 (or 76320 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 132122132221212 its reverse (212122231221231), we get a palindrome (344244363442443).

The spelling of 132122132221212 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred twelve".