11211100122000 has 320 divisors, whose sum is σ = 37630035166464. Its totient is φ = 2868974899200.

The previous prime is 11211100121999. The next prime is 11211100122011. The reversal of 11211100122000 is 22100111211.

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

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, 15860107 + ... + 16551893.

Almost surely, 2^{11211100122000} is an apocalyptic number.

11211100122000 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 11211100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815017583232).

11211100122000 is an abundant number, since it is smaller than the sum of its proper divisors (26418935044464).

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

11211100122000 is a wasteful number, since it uses less digits than its factorization.

11211100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691923 (or 691907 counting only the distinct ones).

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

Adding to 11211100122000 its reverse (22100111211), we get a palindrome (11233200233211).

The spelling of 11211100122000 in words is "eleven trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand".