1230412320 has 288 divisors, whose sum is σ = 4441941504. Its totient is φ = 309657600.

The previous prime is 1230412283. The next prime is 1230412343. The reversal of 1230412320 is 232140321.

1230412320 is a `hidden beast` number, since 1 + 230 + 412 + 3 + 20 = 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 = 1230412293 and 1230412302.

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, 1919200 + ... + 1919840.

It is an arithmetic number, because the mean of its divisors is an integer number (15423408).

Almost surely, 2^1230412320 is an apocalyptic number.

1230412320 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 1230412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220970752).

1230412320 is an abundant number, since it is smaller than the sum of its proper divisors (3211529184).

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

1230412320 is a wasteful number, since it uses less digits than its factorization.

1230412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

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

The square root of 1230412320 is about 35077.2336423498. The cubic root of 1230412320 is about 1071.5609789887.

Adding to 1230412320 its reverse (232140321), we get a palindrome (1462552641).

The spelling of 1230412320 in words is "one billion, two hundred thirty million, four hundred twelve thousand, three hundred twenty".