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132232220212320 = 253253111689253417
BaseRepresentation
bin11110000100001110110110…
…100000110111110001100000
3122100012021110210011012100100
4132010032312200313301200
5114312443041333243240
61145122350544022400
736565314454353564
oct3604166640676140
9570167423135310
10132232220212320
1139151408028658
12129b75a7001a00
1358a25a248b0c7
142492105d976a4
1510449e44d4e30
hex7843b6837c60

132232220212320 has 288 divisors, whose sum is σ = 465840347132160. Its totient is φ = 34121389916160.

The previous prime is 132232220212307. The next prime is 132232220212327. The reversal of 132232220212320 is 23212022232231.

132232220212320 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 322 + 2 + 0 + 2 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232220212327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521670252 + ... + 521923668.

It is an arithmetic number, because the mean of its divisors is an integer number (1617501205320).

Almost surely, 2132232220212320 is an apocalyptic number.

132232220212320 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 132232220212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232920173566080).

132232220212320 is an abundant number, since it is smaller than the sum of its proper divisors (333608126919840).

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

132232220212320 is a wasteful number, since it uses less digits than its factorization.

132232220212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265158 (or 265147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132232220212320 its reverse (23212022232231), we get a palindrome (155444242444551).

The spelling of 132232220212320 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, two hundred twenty million, two hundred twelve thousand, three hundred twenty".