1201322000 has 160 divisors (see below), whose sum is σ = 3118059360. Its totient is φ = 446054400.

The previous prime is 1201321999. The next prime is 1201322047. The reversal of 1201322000 is 2231021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 771506176 + 429815824 = 27776^2 + 20732^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025802 + ... + 3026198.

It is an arithmetic number, because the mean of its divisors is an integer number (19487871).

Almost surely, 2^1201322000 is an apocalyptic number.

1201322000 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 1201322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559029680).

1201322000 is an abundant number, since it is smaller than the sum of its proper divisors (1916737360).

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

1201322000 is a wasteful number, since it uses less digits than its factorization.

1201322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1201322000 is about 34660.0923253242. The cubic root of 1201322000 is about 1063.0486578097.

Adding to 1201322000 its reverse (2231021), we get a palindrome (1203553021).

The spelling of 1201322000 in words is "one billion, two hundred one million, three hundred twenty-two thousand".