531222120 has 384 divisors, whose sum is σ = 2151152640. Its totient is φ = 111697920.

The previous prime is 531222119. The next prime is 531222179. The reversal of 531222120 is 21222135.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 531222093 and 531222102.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 874857 + ... + 875463.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^531222120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

531222120 is an abundant number, since it is smaller than the sum of its proper divisors (1619930520).

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

531222120 is a wasteful number, since it uses less digits than its factorization.

531222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 531222120 is about 23048.2563331806. The cubic root of 531222120 is about 809.8887821692. Note that the first 3 decimals are identical.

Adding to 531222120 its reverse (21222135), we get a palindrome (552444255).

The spelling of 531222120 in words is "five hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty".