1320225120 has 288 divisors, whose sum is σ = 4705646400. Its totient is φ = 336752640.

The previous prime is 1320225097. The next prime is 1320225121. The reversal of 1320225120 is 215220231.

1320225120 is a `hidden beast` number, since 1 + 320 + 225 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1320225093 and 1320225102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320225121) 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, 3782706 + ... + 3783054.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^1320225120 is an apocalyptic number.

1320225120 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 1320225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1320225120 is an abundant number, since it is smaller than the sum of its proper divisors (3385421280).

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

1320225120 is a wasteful number, since it uses less digits than its factorization.

1320225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

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

The square root of 1320225120 is about 36334.9022291240. The cubic root of 1320225120 is about 1097.0236675302.

Adding to 1320225120 its reverse (215220231), we get a palindrome (1535445351).

The spelling of 1320225120 in words is "one billion, three hundred twenty million, two hundred twenty-five thousand, one hundred twenty".