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132122220000 = 2535410321379
BaseRepresentation
bin111101100001100011…
…0010001010111100000
3110122000211021012011120
41323003012101113200
54131041242020000
6140410205412240
712355053224451
oct1730306212740
9418024235146
10132122220000
115103a604461
122173356a080
13c5c7772404
14657529b128
1536843196a0
hex1ec31915e0

132122220000 has 240 divisors, whose sum is σ = 437615418240. Its totient is φ = 34888896000.

The previous prime is 132122219993. The next prime is 132122220017. The reversal of 132122220000 is 22221231.

It is a happy number.

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 (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 6169311 + ... + 6190689.

It is an arithmetic number, because the mean of its divisors is an integer number (1823397576).

Almost surely, 2132122220000 is an apocalyptic number.

132122220000 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 132122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218807709120).

132122220000 is an abundant number, since it is smaller than the sum of its proper divisors (305493198240).

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

132122220000 is a wasteful number, since it uses less digits than its factorization.

132122220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21515 (or 21492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132122220000 its reverse (22221231), we get a palindrome (132144441231).

The spelling of 132122220000 in words is "one hundred thirty-two billion, one hundred twenty-two million, two hundred twenty thousand".