1320211200 has 864 divisors, whose sum is σ = 5839626240. Its totient is φ = 254361600.

The previous prime is 1320211187. The next prime is 1320211223. The reversal of 1320211200 is 21120231.

It is a super-2 number, since 2×1320211200² = 3485915225210880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28089577 + ... + 28089623.

Almost surely, 2^1320211200 is an apocalyptic number.

1320211200 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 1320211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919813120).

1320211200 is an abundant number, since it is smaller than the sum of its proper divisors (4519415040).

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

1320211200 is a wasteful number, since it uses less digits than its factorization.

1320211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1320211200 is about 36334.7106772574. The cubic root of 1320211200 is about 1097.0198119698.

Adding to 1320211200 its reverse (21120231), we get a palindrome (1341331431).

The spelling of 1320211200 in words is "one billion, three hundred twenty million, two hundred eleven thousand, two hundred".