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120220012220 = 225711241179967
BaseRepresentation
bin110111111110110101…
…0111100111010111100
3102111022100011101112012
41233331222330322330
53432202310342340
6131121152030352
711454110146310
oct1577552747274
9374270141465
10120220012220
1146a92076600
121b3715323b8
13b44b95a509
145b66657b40
1531d9464565
hex1bfdabcebc

120220012220 has 288 divisors, whose sum is σ = 327030359040. Its totient is φ = 36315417600.

The previous prime is 120220012207. The next prime is 120220012223. The reversal of 120220012220 is 22210022021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120220012195 and 120220012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220012223) 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, 124322177 + ... + 124323143.

It is an arithmetic number, because the mean of its divisors is an integer number (1135522080).

Almost surely, 2120220012220 is an apocalyptic number.

120220012220 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 120220012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163515179520).

120220012220 is an abundant number, since it is smaller than the sum of its proper divisors (206810346820).

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

120220012220 is a wasteful number, since it uses less digits than its factorization.

120220012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120220012220 its reverse (22210022021), we get a palindrome (142430034241).

The spelling of 120220012220 in words is "one hundred twenty billion, two hundred twenty million, twelve thousand, two hundred twenty".