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132221232000000 = 210325611136421
BaseRepresentation
bin11110000100000100100111…
…100100001010110000000000
3122100011020002222220011202200
4132010010213210022300000
5114312303040343000000
61145113332340313200
736564445250164263
oct3604044744126000
9570136088804680
10132221232000000
1139147789511050
12129b543b0a2800
1358a1540b2cc20
1424917828b4cda
15104459e9c3500
hex78412790ac00

132221232000000 has 1848 divisors, whose sum is σ = 560744803937136. Its totient is φ = 29583360000000.

The previous prime is 132221231999977. The next prime is 132221232000017. The reversal of 132221232000000 is 232122231.

132221232000000 is a `hidden beast` number, since 1 + 322 + 21 + 2 + 320 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20591996790 + ... + 20592003210.

Almost surely, 2132221232000000 is an apocalyptic number.

132221232000000 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 132221232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280372401968568).

132221232000000 is an abundant number, since it is smaller than the sum of its proper divisors (428523571937136).

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

132221232000000 is an equidigital number, since it uses as much as digits as its factorization.

132221232000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132221232000000 its reverse (232122231), we get a palindrome (132221464122231).

The spelling of 132221232000000 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, two hundred thirty-two million", and thus it is an aban number.