11211112121200 has 60 divisors (see below), whose sum is σ = 28519090822080. Its totient is φ = 4220653972480.

The previous prime is 11211112121171. The next prime is 11211112121201. The reversal of 11211112121200 is 212121111211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211112121201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824339680 + ... + 824353279.

It is an arithmetic number, because the mean of its divisors is an integer number (475318180368).

Almost surely, 2^{11211112121200} is an apocalyptic number.

11211112121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211112121200 is an abundant number, since it is smaller than the sum of its proper divisors (17307978700880).

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

11211112121200 is a wasteful number, since it uses less digits than its factorization.

11211112121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648692994 (or 1648692983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11211112121200 its reverse (212121111211), we get a palindrome (11423233232411).

The spelling of 11211112121200 in words is "eleven trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".