1230319920 has 320 divisors, whose sum is σ = 4339008000. Its totient is φ = 286507008.

The previous prime is 1230319907. The next prime is 1230319927. The reversal of 1230319920 is 299130321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1230319927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4573546 + ... + 4573814.

It is an arithmetic number, because the mean of its divisors is an integer number (13559400).

Almost surely, 2^1230319920 is an apocalyptic number.

1230319920 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 1230319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169504000).

1230319920 is an abundant number, since it is smaller than the sum of its proper divisors (3108688080).

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

1230319920 is a wasteful number, since it uses less digits than its factorization.

1230319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1230319920 is about 35075.9165240197. The cubic root of 1230319920 is about 1071.5341547252.

It can be divided in two parts, 12303 and 19920, that added together give a palindrome (32223).

The spelling of 1230319920 in words is "one billion, two hundred thirty million, three hundred nineteen thousand, nine hundred twenty".