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BaseRepresentation
bin1110010100000…
…00010010011100
322100220211122200
413022000102130
5221214010012
615525211500
72655343200
oct712002234
9270824580
10120063132
1161855232
1234260b90
131bb49897
1411d34b00
15a8193dc
hex728049c

120063132 has 108 divisors (see below), whose sum is σ = 365372280. Its totient is φ = 33106752.

The previous prime is 120063127. The next prime is 120063137. The reversal of 120063132 is 231360021.

120063132 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 631 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (120063127) and next prime (120063137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120063137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49983 + ... + 52329.

Almost surely, 2120063132 is an apocalyptic number.

120063132 is a gapful number since it is divisible by the number (12) 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 120063132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182686140).

120063132 is an abundant number, since it is smaller than the sum of its proper divisors (245309148).

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

120063132 is a wasteful number, since it uses less digits than its factorization.

120063132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120063132 is about 10957.3323395797. The cubic root of 120063132 is about 493.3288979798.

The spelling of 120063132 in words is "one hundred twenty million, sixty-three thousand, one hundred thirty-two".