1234321000 has 144 divisors (see below), whose sum is σ = 3206499660. Its totient is φ = 444400000.

The previous prime is 1234320991. The next prime is 1234321021. The reversal of 1234321000 is 1234321.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 593117316 + 641203684 = 24354^2 + 25322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12220950 + ... + 12221050.

Almost surely, 2^1234321000 is an apocalyptic number.

1234321000 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 1234321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603249830).

1234321000 is an abundant number, since it is smaller than the sum of its proper divisors (1972178660).

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

1234321000 is a wasteful number, since it uses less digits than its factorization.

1234321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1234321000 is about 35132.9048044707. The cubic root of 1234321000 is about 1072.6944639709.

Adding to 1234321000 its reverse (1234321), we get a palindrome (1235555321).

1234321000 divided by its reverse (1234321) gives a cube (1000 = 10³).

The spelling of 1234321000 in words is "one billion, two hundred thirty-four million, three hundred twenty-one thousand".