11001211201200 has 240 divisors, whose sum is σ = 39095832528000. Its totient is φ = 2621757388800.

The previous prime is 11001211201187. The next prime is 11001211201213. The reversal of 11001211201200 is 210211210011.

It is an interprime number because it is at equal distance from previous prime (11001211201187) and next prime (11001211201213).

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 6284125 + ... + 7841724.

It is an arithmetic number, because the mean of its divisors is an integer number (162899302200).

Almost surely, 2^{11001211201200} is an apocalyptic number.

11001211201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001211201200 is an abundant number, since it is smaller than the sum of its proper divisors (28094621326800).

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

11001211201200 is a wasteful number, since it uses less digits than its factorization.

11001211201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14125940 (or 14125929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001211201200 its reverse (210211210011), we get a palindrome (11211422411211).

The spelling of 11001211201200 in words is "eleven trillion, one billion, two hundred eleven million, two hundred one thousand, two hundred".