11311101001200 has 480 divisors, whose sum is σ = 48648813276672. Its totient is φ = 2169561600000.

The previous prime is 11311101001181. The next prime is 11311101001223. The reversal of 11311101001200 is 210010111311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3507051 + ... + 5909450.

Almost surely, 2^{11311101001200} is an apocalyptic number.

11311101001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311101001200 is an abundant number, since it is smaller than the sum of its proper divisors (37337712275472).

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

11311101001200 is a wasteful number, since it uses less digits than its factorization.

11311101001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416553 (or 9416542 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11311101001200 its reverse (210010111311), we get a palindrome (11521111112511).

The spelling of 11311101001200 in words is "eleven trillion, three hundred eleven billion, one hundred one million, one thousand, two hundred".