1200321000 has 192 divisors, whose sum is σ = 4083702480. Its totient is φ = 317990400.

The previous prime is 1200320981. The next prime is 1200321007. The reversal of 1200321000 is 1230021.

It is a happy number.

1200321000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 684031716 + 516289284 = 26154^2 + 22722^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200321007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772662 + ... + 1773338.

Almost surely, 2^1200321000 is an apocalyptic number.

1200321000 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 1200321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041851240).

1200321000 is an abundant number, since it is smaller than the sum of its proper divisors (2883381480).

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

1200321000 is a wasteful number, since it uses less digits than its factorization.

1200321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1200321000 is about 34645.6490774816. The cubic root of 1200321000 is about 1062.7533144574.

Adding to 1200321000 its reverse (1230021), we get a palindrome (1201551021).

The spelling of 1200321000 in words is "one billion, two hundred million, three hundred twenty-one thousand".