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132221320321200 = 243521171141081221
BaseRepresentation
bin11110000100000100101100…
…110101000101100010110000
3122100011020100011002100200020
4132010010230311011202300
5114312303231000234300
61145113345213323440
736564450401665425
oct3604045465054260
9570136304070606
10132221320321200
1139147824356080
12129b5464796580
1358a15562149a6
142491790505d4c
1510445a761c8a0
hex78412cd458b0

132221320321200 has 240 divisors, whose sum is σ = 468561211805952. Its totient is φ = 31602193280000.

The previous prime is 132221320321177. The next prime is 132221320321231. The reversal of 132221320321200 is 2123023122231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69603411 + ... + 71477810.

Almost surely, 2132221320321200 is an apocalyptic number.

132221320321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221320321200 is an abundant number, since it is smaller than the sum of its proper divisors (336339891484752).

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

132221320321200 is a wasteful number, since it uses less digits than its factorization.

132221320321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141081324 (or 141081313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132221320321200 its reverse (2123023122231), we get a palindrome (134344343443431).

The spelling of 132221320321200 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, three hundred twenty million, three hundred twenty-one thousand, two hundred".