120220020 has 72 divisors (see below), whose sum is σ = 370679400. Its totient is φ = 31530240.

The previous prime is 120220007. The next prime is 120220021. The reversal of 120220020 is 20022021.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 112402404 = 2796^2 + 10602^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120219984 and 120220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5506 + ... + 16454.

It is an arithmetic number, because the mean of its divisors is an integer number (5148325).

Almost surely, 2^120220020 is an apocalyptic number.

120220020 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 120220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185339700).

120220020 is an abundant number, since it is smaller than the sum of its proper divisors (250459380).

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

120220020 is a wasteful number, since it uses less digits than its factorization.

120220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120220020 is about 10964.4890441826. The cubic root of 120220020 is about 493.5436841379.

Adding to 120220020 its reverse (20022021), we get a palindrome (140242041).

The spelling of 120220020 in words is "one hundred twenty million, two hundred twenty thousand, twenty".