1311111211200 has 336 divisors, whose sum is σ = 5030374821120. Its totient is φ = 292712878080.

The previous prime is 1311111211183. The next prime is 1311111211219. The reversal of 1311111211200 is 21121111131.

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 1311111211200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991066 + ... + 1898534.

Almost surely, 2^{1311111211200} is an apocalyptic number.

1311111211200 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 1311111211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515187410560).

1311111211200 is an abundant number, since it is smaller than the sum of its proper divisors (3719263609920).

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

1311111211200 is a wasteful number, since it uses less digits than its factorization.

1311111211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907544 (or 907529 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1311111211200 its reverse (21121111131), we get a palindrome (1332232322331).

The spelling of 1311111211200 in words is "one trillion, three hundred eleven billion, one hundred eleven million, two hundred eleven thousand, two hundred".