11120211102000 has 2560 divisors, whose sum is σ = 49902662025216. Its totient is φ = 2055849984000.

The previous prime is 11120211101947. The next prime is 11120211102029. The reversal of 11120211102000 is 20111202111.

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 511 ways as a sum of consecutive naturals, for example, 36222185847 + ... + 36222186153.

Almost surely, 2^{11120211102000} is an apocalyptic number.

11120211102000 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 11120211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24951331012608).

11120211102000 is an abundant number, since it is smaller than the sum of its proper divisors (38782450923216).

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

11120211102000 is a wasteful number, since it uses less digits than its factorization.

11120211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

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

Adding to 11120211102000 its reverse (20111202111), we get a palindrome (11140322304111).

It can be divided in two parts, 11120211 and 102000, that added together give a palindrome (11222211).

The spelling of 11120211102000 in words is "eleven trillion, one hundred twenty billion, two hundred eleven million, one hundred two thousand".