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132122000000 = 2756312131
BaseRepresentation
bin111101100001100010…
…1011011101010000000
3110122000210212000101102
41323003011123222000
54131041213000000
6140410200553532
712355051320164
oct1730305335200
9418023760342
10132122000000
115103a474141
12217334828a8
13c5c76c6233
146575240ca4
1536842c43d5
hex1ec315ba80

132122000000 has 224 divisors, whose sum is σ = 339783150720. Its totient is φ = 51120000000.

The previous prime is 132121999991. The next prime is 132122000033. The reversal of 132122000000 is 221231.

It is a happy 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 27 ways as a sum of consecutive naturals, for example, 61998935 + ... + 62001065.

Almost surely, 2132122000000 is an apocalyptic number.

132122000000 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 132122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169891575360).

132122000000 is an abundant number, since it is smaller than the sum of its proper divisors (207661150720).

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

132122000000 is an frugal number, since it uses more digits than its factorization.

132122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 132122000000 its reverse (221231), we get a palindrome (132122221231).

The spelling of 132122000000 in words is "one hundred thirty-two billion, one hundred twenty-two million", and thus it is an aban number.