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120120332220 = 2232572310141039
BaseRepresentation
bin110111111011110111…
…0101100111110111100
3102111001101121010021100
41233313232230332330
53432001301112340
6131103231333100
711451456656130
oct1576756547674
9374041533240
10120120332220
1146a40883539
121b344081190
13b4340c9575
145b5730b3c0
1531d0824830
hex1bf7bacfbc

120120332220 has 288 divisors, whose sum is σ = 438835138560. Its totient is φ = 26001676800.

The previous prime is 120120332207. The next prime is 120120332221. The reversal of 120120332220 is 22233021021.

120120332220 is a `hidden beast` number, since 120 + 1 + 203 + 322 + 20 = 666.

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 = 120120332193 and 120120332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120332221) 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, 2906461 + ... + 2947499.

It is an arithmetic number, because the mean of its divisors is an integer number (1523733120).

Almost surely, 2120120332220 is an apocalyptic number.

120120332220 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 120120332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219417569280).

120120332220 is an abundant number, since it is smaller than the sum of its proper divisors (318714806340).

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

120120332220 is a wasteful number, since it uses less digits than its factorization.

120120332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41185 (or 41180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120120332220 its reverse (22233021021), we get a palindrome (142353353241).

The spelling of 120120332220 in words is "one hundred twenty billion, one hundred twenty million, three hundred thirty-two thousand, two hundred twenty".