1220314320 has 240 divisors, whose sum is σ = 4205637072. Its totient is φ = 317030400.

The previous prime is 1220314313. The next prime is 1220314327. The reversal of 1220314320 is 234130221.

1220314320 is a `hidden beast` number, since 12 + 20 + 314 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1220314313) and next prime (1220314327).

It can be written as a sum of positive squares in 8 ways, for example, as 218211984 + 1002102336 = 14772^2 + 31656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1220314293 and 1220314302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220314327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7053754 + ... + 7053926.

Almost surely, 2^1220314320 is an apocalyptic number.

1220314320 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 1220314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102818536).

1220314320 is an abundant number, since it is smaller than the sum of its proper divisors (2985322752).

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

1220314320 is a wasteful number, since it uses less digits than its factorization.

1220314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1220314320 is about 34932.9975810837. The cubic root of 1220314320 is about 1068.6214873689.

Adding to 1220314320 its reverse (234130221), we get a palindrome (1454444541).

The spelling of 1220314320 in words is "one billion, two hundred twenty million, three hundred fourteen thousand, three hundred twenty".