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132221201112 = 23327111337179277
BaseRepresentation
bin111101100100011111…
…1110110101011011000
3110122021201111221201200
41323020333312223120
54131242111413422
6140424103114200
712360364444230
oct1731077665330
9418251457650
10132221201112
115109046a430
1221760742960
13c61211a210
1465844a4cc0
15368cd6c2ac
hex1ec8ff6ad8

132221201112 has 768 divisors, whose sum is σ = 498350361600. Its totient is φ = 30561546240.

The previous prime is 132221201093. The next prime is 132221201173. The reversal of 132221201112 is 211102122231.

132221201112 is a `hidden beast` number, since 132 + 221 + 201 + 112 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 477332718 + ... + 477332994.

It is an arithmetic number, because the mean of its divisors is an integer number (648893700).

Almost surely, 2132221201112 is an apocalyptic number.

132221201112 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 132221201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249175180800).

132221201112 is an abundant number, since it is smaller than the sum of its proper divisors (366129160488).

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

132221201112 is a wasteful number, since it uses less digits than its factorization.

132221201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132221201112 its reverse (211102122231), we get a palindrome (343323323343).

It can be divided in two parts, 132221 and 201112, that added together give a palindrome (333333).

The spelling of 132221201112 in words is "one hundred thirty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred twelve".