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132120000000 = 293257367
BaseRepresentation
bin111101100001011110…
…1110011011000000000
3110122000200002101220100
41323002331303120000
54131040210000000
6140410050042400
712355025320242
oct1730275633000
9418020071810
10132120000000
115103932854a
1221732879400
13c5c7175ac1
146574c80092
15368402ba00
hex1ec2f73600

132120000000 has 480 divisors, whose sum is σ = 477931588992. Its totient is φ = 35136000000.

The previous prime is 132119999987. The next prime is 132120000013. The reversal of 132120000000 is 21231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132119999987) and next prime (132120000013).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 359999817 + ... + 360000183.

Almost surely, 2132120000000 is an apocalyptic number.

132120000000 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 132120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238965794496).

132120000000 is an abundant number, since it is smaller than the sum of its proper divisors (345811588992).

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

132120000000 is an frugal number, since it uses more digits than its factorization.

132120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 132120000000 its reverse (21231), we get a palindrome (132120021231).

The spelling of 132120000000 in words is "one hundred thirty-two billion, one hundred twenty million", and thus it is an aban number.