1230128640 has 480 divisors, whose sum is σ = 4836252960. Its totient is φ = 294617088.

The previous prime is 1230128611. The next prime is 1230128657. The reversal of 1230128640 is 468210321.

1230128640 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 12 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33246702 + ... + 33246738.

It is an arithmetic number, because the mean of its divisors is an integer number (10075527).

Almost surely, 2^1230128640 is an apocalyptic number.

1230128640 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 1230128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418126480).

1230128640 is an abundant number, since it is smaller than the sum of its proper divisors (3606124320).

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

1230128640 is an equidigital number, since it uses as much as digits as its factorization.

1230128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1230128640 is about 35073.1897608415. The cubic root of 1230128640 is about 1071.4786207477.

Adding to 1230128640 its reverse (468210321), we get a palindrome (1698338961).

The spelling of 1230128640 in words is "one billion, two hundred thirty million, one hundred twenty-eight thousand, six hundred forty".