11111201122000 has 320 divisors, whose sum is σ = 32657133809664. Its totient is φ = 3569367859200.

The previous prime is 11111201121973. The next prime is 11111201122001. The reversal of 11111201122000 is 22110211111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111201122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52969324 + ... + 53178676.

Almost surely, 2^{11111201122000} is an apocalyptic number.

11111201122000 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 11111201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328566904832).

11111201122000 is an abundant number, since it is smaller than the sum of its proper divisors (21545932687664).

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

11111201122000 is a wasteful number, since it uses less digits than its factorization.

11111201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209623 (or 209607 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11111201122000 its reverse (22110211111), we get a palindrome (11133311333111).

The spelling of 11111201122000 in words is "eleven trillion, one hundred eleven billion, two hundred one million, one hundred twenty-two thousand".