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132232021201200 = 243524711632015941
BaseRepresentation
bin11110000100001110101010…
…101001101101000100110000
3122100012020221220200101102010
4132010032222221231010300
5114312442134411414300
61145122315114322520
736565306516655334
oct3604165251550460
9570166856611363
10132232021201200
1139151315760658
12129b7550429440
1358a257018bc4b
1424920c77917c4
1510449d1cc3a50
hex7843aaa6d130

132232021201200 has 240 divisors, whose sum is σ = 432967830713856. Its totient is φ = 34481927961600.

The previous prime is 132232021201157. The next prime is 132232021201243. The reversal of 132232021201200 is 2102120232231.

It is an interprime number because it is at equal distance from previous prime (132232021201157) and next prime (132232021201243).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64585230 + ... + 66601170.

Almost surely, 2132232021201200 is an apocalyptic number.

132232021201200 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 132232021201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216483915356928).

132232021201200 is an abundant number, since it is smaller than the sum of its proper divisors (300735809512656).

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

132232021201200 is a wasteful number, since it uses less digits than its factorization.

132232021201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017172 (or 2017161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132232021201200 its reverse (2102120232231), we get a palindrome (134334141433431).

The spelling of 132232021201200 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, twenty-one million, two hundred one thousand, two hundred".