1020220120 has 64 divisors (see below), whose sum is σ = 2342260800. Its totient is φ = 399828480.

The previous prime is 1020220111. The next prime is 1020220127. The reversal of 1020220120 is 210220201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020220097 and 1020220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772821 + ... + 774139.

It is an arithmetic number, because the mean of its divisors is an integer number (36597825).

Almost surely, 2^1020220120 is an apocalyptic number.

1020220120 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 1020220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171130400).

1020220120 is an abundant number, since it is smaller than the sum of its proper divisors (1322040680).

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

1020220120 is a wasteful number, since it uses less digits than its factorization.

1020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1020220120 is about 31940.8847717154. The cubic root of 1020220120 is about 1006.6951153946.

Adding to 1020220120 its reverse (210220201), we get a palindrome (1230440321).

The spelling of 1020220120 in words is "one billion, twenty million, two hundred twenty thousand, one hundred twenty".