11121221122000 has 320 divisors, whose sum is σ = 30240224501760. Its totient is φ = 3921006144000.

The previous prime is 11121221121977. The next prime is 11121221122003. The reversal of 11121221122000 is 22112212111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121221122003) 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, 110587741 + ... + 110688259.

It is an arithmetic number, because the mean of its divisors is an integer number (94500701568).

Almost surely, 2^{11121221122000} is an apocalyptic number.

11121221122000 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 11121221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120112250880).

11121221122000 is an abundant number, since it is smaller than the sum of its proper divisors (19119003379760).

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

11121221122000 is a wasteful number, since it uses less digits than its factorization.

11121221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100707 (or 100691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11121221122000 its reverse (22112212111), we get a palindrome (11143333334111).

It can be divided in two parts, 111212 and 21122000, that added together give a palindrome (21233212).

The spelling of 11121221122000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand".