11221211112000 has 1344 divisors, whose sum is σ = 41104073687040. Its totient is φ = 2689403904000.

The previous prime is 11221211111987. The next prime is 11221211112047. The reversal of 11221211112000 is 21111212211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23426327761 + ... + 23426328239.

It is an arithmetic number, because the mean of its divisors is an integer number (30583388160).

Almost surely, 2^{11221211112000} is an apocalyptic number.

11221211112000 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 11221211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552036843520).

11221211112000 is an abundant number, since it is smaller than the sum of its proper divisors (29882862575040).

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

11221211112000 is a wasteful number, since it uses less digits than its factorization.

11221211112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 580 counting only the distinct ones).

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

Adding to 11221211112000 its reverse (21111212211), we get a palindrome (11242322324211).

The spelling of 11221211112000 in words is "eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand".