11121112021200 has 60 divisors (see below), whose sum is σ = 35624628845088. Its totient is φ = 2965629872000.

The previous prime is 11121112021193. The next prime is 11121112021249. The reversal of 11121112021200 is 212021112111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11121112021200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4633795476 + ... + 4633797875.

Almost surely, 2^{11121112021200} is an apocalyptic number.

11121112021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121112021200 is an abundant number, since it is smaller than the sum of its proper divisors (24503516823888).

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

11121112021200 is a wasteful number, since it uses less digits than its factorization.

11121112021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267593372 (or 9267593361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121112021200 its reverse (212021112111), we get a palindrome (11333133133311).

The spelling of 11121112021200 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, twenty-one thousand, two hundred".