11211200000000 has 1404 divisors, whose sum is σ = 38299304609496. Its totient is φ = 3225600000000.

The previous prime is 11211199999973. The next prime is 11211200000123. The reversal of 11211200000000 is 211211.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 107 ways as a sum of consecutive naturals, for example, 862399999994 + ... + 862400000006.

Almost surely, 2^{11211200000000} is an apocalyptic number.

11211200000000 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 11211200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19149652304748).

11211200000000 is an abundant number, since it is smaller than the sum of its proper divisors (27088104609496).

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

11211200000000 is an frugal number, since it uses more digits than its factorization.

11211200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11211200000000 its reverse (211211), we get a palindrome (11211200211211).

It can be divided in two parts, 112 and 11200000000, that multiplied together give a square (1254400000000 = 1120000²).

The spelling of 11211200000000 in words is "eleven trillion, two hundred eleven billion, two hundred million", and thus it is an aban number.