1341211200 has 336 divisors, whose sum is σ = 5079674880. Its totient is φ = 303482880.

The previous prime is 1341211189. The next prime is 1341211211. The reversal of 1341211200 is 21121431.

It is an interprime number because it is at equal distance from previous prime (1341211189) and next prime (1341211211).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1341211200.

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 47 ways as a sum of consecutive naturals, for example, 6014289 + ... + 6014511.

It is an arithmetic number, because the mean of its divisors is an integer number (15118080).

Almost surely, 2^1341211200 is an apocalyptic number.

1341211200 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 1341211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539837440).

1341211200 is an abundant number, since it is smaller than the sum of its proper divisors (3738463680).

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

1341211200 is a wasteful number, since it uses less digits than its factorization.

1341211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1341211200 is about 36622.5504300288. The cubic root of 1341211200 is about 1102.8058396367.

Adding to 1341211200 its reverse (21121431), we get a palindrome (1362332631).

The spelling of 1341211200 in words is "one billion, three hundred forty-one million, two hundred eleven thousand, two hundred".