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132122000120 = 2351117192113433
BaseRepresentation
bin111101100001100010…
…1011011101011111000
3110122000210212000112212
41323003011123223320
54131041213000440
6140410200554252
712355051320425
oct1730305335370
9418023760485
10132122000120
115103a474240
1221733482988
13c5c76c62c6
146575240d4c
1536842c4465
hex1ec315baf8

132122000120 has 384 divisors, whose sum is σ = 366450920640. Its totient is φ = 42361159680.

The previous prime is 132122000119. The next prime is 132122000123. The reversal of 132122000120 is 21000221231.

It is a happy number.

132122000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132122000095 and 132122000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122000123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305131424 + ... + 305131856.

Almost surely, 2132122000120 is an apocalyptic number.

132122000120 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 132122000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183225460320).

132122000120 is an abundant number, since it is smaller than the sum of its proper divisors (234328920520).

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

132122000120 is a wasteful number, since it uses less digits than its factorization.

132122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 132122000120 its reverse (21000221231), we get a palindrome (153122221351).

The spelling of 132122000120 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.