Search a number
-
+
120020120220 = 2235711213181667
BaseRepresentation
bin110111111000111000…
…0011011001010011100
3102110210102000211020210
41233301300123022130
53431300122321340
6131045251412420
711446132121640
oct1576160331234
9373712024223
10120020120220
114699a257800
121b3165b4110
13b419410420
145b47ca2c20
1531c6b2c180
hex1bf1c1b29c

120020120220 has 288 divisors, whose sum is σ = 454629256704. Its totient is φ = 23020715520.

The previous prime is 120020120203. The next prime is 120020120243. The reversal of 120020120220 is 22021020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120020120196 and 120020120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569827 + ... + 751493.

It is an arithmetic number, because the mean of its divisors is an integer number (1578573808).

Almost surely, 2120020120220 is an apocalyptic number.

120020120220 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 120020120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227314628352).

120020120220 is an abundant number, since it is smaller than the sum of its proper divisors (334609136484).

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

120020120220 is a wasteful number, since it uses less digits than its factorization.

120020120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181721 (or 181708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120020120220 its reverse (22021020021), we get a palindrome (142041140241).

The spelling of 120020120220 in words is "one hundred twenty billion, twenty million, one hundred twenty thousand, two hundred twenty".