120820530 has 64 divisors (see below), whose sum is σ = 308613888. Its totient is φ = 30167040.

The previous prime is 120820517. The next prime is 120820537. The reversal of 120820530 is 35028021.

It is a junction number, because it is equal to n+sod(n) for n = 120820497 and 120820506.

It is not an unprimeable number, because it can be changed into a prime (120820537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122419 + ... + 123401.

It is an arithmetic number, because the mean of its divisors is an integer number (4822092).

Almost surely, 2^120820530 is an apocalyptic number.

120820530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120820530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154306944).

120820530 is an abundant number, since it is smaller than the sum of its proper divisors (187793358).

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

120820530 is a wasteful number, since it uses less digits than its factorization.

120820530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120820530 is about 10991.8392455494. The cubic root of 120820530 is about 494.3640849451.

Adding to 120820530 its reverse (35028021), we get a palindrome (155848551).

It can be divided in two parts, 1208205 and 30, that added together give a triangular number (1208235 = T₁₅₅₄).

The spelling of 120820530 in words is "one hundred twenty million, eight hundred twenty thousand, five hundred thirty".