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132120212202000 = 243253113718034427
BaseRepresentation
bin11110000010100110100010…
…010100001110001000010000
3122022210120100202022201122200
4132002212202110032020100
5114304124143310431000
61144555104303403200
736554241011106621
oct3602464224161020
9568716322281580
10132120212202000
113910895a46a690
12129999478b3500
135894b61c70b19
14248a91c231a48
151041b3ae96500
hex7829a250e210

132120212202000 has 480 divisors, whose sum is σ = 517007519293824. Its totient is φ = 31163488128000.

The previous prime is 132120212201959. The next prime is 132120212202031. The reversal of 132120212202000 is 202212021231.

132120212202000 is a `hidden beast` number, since 1 + 321 + 20 + 2 + 122 + 0 + 200 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1691214 + ... + 16343213.

Almost surely, 2132120212202000 is an apocalyptic number.

132120212202000 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 132120212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258503759646912).

132120212202000 is an abundant number, since it is smaller than the sum of its proper divisors (384887307091824).

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

132120212202000 is a wasteful number, since it uses less digits than its factorization.

132120212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18034504 (or 18034485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132120212202000 its reverse (202212021231), we get a palindrome (132322424223231).

The spelling of 132120212202000 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand".