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120112222032 = 24331122638737
BaseRepresentation
bin110111111011100111…
…1110000111101010000
3102111000211100002012000
41233313033300331100
53431442212101112
6131102341434000
711451331020225
oct1576717607520
9374024302160
10120112222032
1146a37244200
121b34140b900
13b432519c3a
145b561d994c
1531cec717dc
hex1bf73f0f50

120112222032 has 240 divisors, whose sum is σ = 380442733440. Its totient is φ = 36255098880.

The previous prime is 120112222003. The next prime is 120112222033. The reversal of 120112222032 is 230222211021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120112221996 and 120112222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112222033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13743168 + ... + 13751904.

It is an arithmetic number, because the mean of its divisors is an integer number (1585178056).

Almost surely, 2120112222032 is an apocalyptic number.

120112222032 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 120112222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190221366720).

120112222032 is an abundant number, since it is smaller than the sum of its proper divisors (260330511408).

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

120112222032 is a wasteful number, since it uses less digits than its factorization.

120112222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120112222032 its reverse (230222211021), we get a palindrome (350334433053).

The spelling of 120112222032 in words is "one hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, thirty-two".