1321612200 has 240 divisors, whose sum is σ = 4791077280. Its totient is φ = 337011840.

The previous prime is 1321612121. The next prime is 1321612207. The reversal of 1321612200 is 22161231.

1321612200 is a `hidden beast` number, since 1 + 32 + 1 + 612 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1321612207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 370827 + ... + 374373.

It is an arithmetic number, because the mean of its divisors is an integer number (19962822).

Almost surely, 2^1321612200 is an apocalyptic number.

1321612200 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 1321612200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395538640).

1321612200 is an abundant number, since it is smaller than the sum of its proper divisors (3469465080).

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

1321612200 is a wasteful number, since it uses less digits than its factorization.

1321612200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1321612200 is about 36353.9846509293. The cubic root of 1321612200 is about 1097.4077250094.

Adding to 1321612200 its reverse (22161231), we get a palindrome (1343773431).

The spelling of 1321612200 in words is "one billion, three hundred twenty-one million, six hundred twelve thousand, two hundred".