1232225280 has 792 divisors, whose sum is σ = 5351365656. Its totient is φ = 259522560.

The previous prime is 1232225279. The next prime is 1232225287. The reversal of 1232225280 is 825222321.

1232225280 is a `hidden beast` number, since 12 + 322 + 252 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 1141899264 = 9504^2 + 33792^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232225287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72483832 + ... + 72483848.

Almost surely, 2^1232225280 is an apocalyptic number.

1232225280 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 1232225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675682828).

1232225280 is an abundant number, since it is smaller than the sum of its proper divisors (4119140376).

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

1232225280 is a wasteful number, since it uses less digits than its factorization.

1232225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1232225280 is about 35103.0665327119. The cubic root of 1232225280 is about 1072.0870204847.

The spelling of 1232225280 in words is "one billion, two hundred thirty-two million, two hundred twenty-five thousand, two hundred eighty".