11201011122000 has 320 divisors, whose sum is σ = 41285312999424. Its totient is φ = 2559338611200.

The previous prime is 11201011121981. The next prime is 11201011122047. The reversal of 11201011122000 is 22111010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124400997 + ... + 124491003.

Almost surely, 2^{11201011122000} is an apocalyptic number.

11201011122000 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 11201011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642656499712).

11201011122000 is an abundant number, since it is smaller than the sum of its proper divisors (30084301877424).

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

11201011122000 is a wasteful number, since it uses less digits than its factorization.

11201011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93003 (or 92987 counting only the distinct ones).

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

Adding to 11201011122000 its reverse (22111010211), we get a palindrome (11223122132211).

The spelling of 11201011122000 in words is "eleven trillion, two hundred one billion, eleven million, one hundred twenty-two thousand".