393222120 has 64 divisors (see below), whose sum is σ = 1187533440. Its totient is φ = 104160000.

The previous prime is 393222113. The next prime is 393222131. The reversal of 393222120 is 21222393.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7270 + ... + 28970.

It is an arithmetic number, because the mean of its divisors is an integer number (18555210).

Almost surely, 2^393222120 is an apocalyptic number.

393222120 is a gapful number since it is divisible by the number (30) 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 393222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593766720).

393222120 is an abundant number, since it is smaller than the sum of its proper divisors (794311320).

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

393222120 is a wasteful number, since it uses less digits than its factorization.

393222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 393222120 is about 19829.8290461617. The cubic root of 393222120 is about 732.6209160234.

The spelling of 393222120 in words is "three hundred ninety-three million, two hundred twenty-two thousand, one hundred twenty".