Search a number
-
+
120220100220220 = 2257111323534926169
BaseRepresentation
bin11011010101011011101100…
…010111100101010100111100
3120202122221002111011200222121
4123111123230113211110330
5111224141231124021340
61103404203540252324
734215421104165250
oct3325335427452474
9522587074150877
10120220100220220
1135340070496360
12115975643a10a4
135210925b13580
142198980884260
15dd730254094a
hex6d56ec5e553c

120220100220220 has 384 divisors, whose sum is σ = 360381887631360. Its totient is φ = 32460688465920.

The previous prime is 120220100220217. The next prime is 120220100220229. The reversal of 120220100220220 is 22022001022021.

It is a junction number, because it is equal to n+sod(n) for n = 120220100220194 and 120220100220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220100220229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21941296 + ... + 26867464.

It is an arithmetic number, because the mean of its divisors is an integer number (938494499040).

Almost surely, 2120220100220220 is an apocalyptic number.

120220100220220 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 120220100220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180190943815680).

120220100220220 is an abundant number, since it is smaller than the sum of its proper divisors (240161787411140).

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

120220100220220 is a wasteful number, since it uses less digits than its factorization.

120220100220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926285 (or 4926283 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120220100220220 its reverse (22022001022021), we get a palindrome (142242101242241).

The spelling of 120220100220220 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred million, two hundred twenty thousand, two hundred twenty".