1211311301200 has 1080 divisors, whose sum is σ = 4057352109720. Its totient is φ = 344171520000.

The previous prime is 1211311301159. The next prime is 1211311301231. The reversal of 1211311301200 is 21031131121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 359241999424 + 852069301776 = 599368^2 + 923076^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3113910606 + ... + 3113910994.

It is an arithmetic number, because the mean of its divisors is an integer number (3756807509).

Almost surely, 2^{1211311301200} is an apocalyptic number.

1211311301200 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 1211311301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028676054860).

1211311301200 is an abundant number, since it is smaller than the sum of its proper divisors (2846040808520).

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

1211311301200 is a wasteful number, since it uses less digits than its factorization.

1211311301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1211311301200 its reverse (21031131121), we get a palindrome (1232342432321).

The spelling of 1211311301200 in words is "one trillion, two hundred eleven billion, three hundred eleven million, three hundred one thousand, two hundred".