1311121213200 has 180 divisors, whose sum is σ = 4562848623060. Its totient is φ = 348641525760.

The previous prime is 1311121213163. The next prime is 1311121213211. The reversal of 1311121213200 is 23121211131.

1311121213200 is a `hidden beast` number, since 1 + 311 + 12 + 1 + 21 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2421820944 + 1308699392256 = 49212^2 + 1143984^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 754936 + ... + 1786664.

It is an arithmetic number, because the mean of its divisors is an integer number (25349159017).

Almost surely, 2^{1311121213200} is an apocalyptic number.

1311121213200 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 1311121213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281424311530).

1311121213200 is an abundant number, since it is smaller than the sum of its proper divisors (3251727409860).

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

1311121213200 is a wasteful number, since it uses less digits than its factorization.

1311121213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032106 (or 1032092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311121213200 its reverse (23121211131), we get a palindrome (1334242424331).

The spelling of 1311121213200 in words is "one trillion, three hundred eleven billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred".