11121222112000 has 1728 divisors, whose sum is σ = 39627152667648. Its totient is φ = 3009576960000.

The previous prime is 11121222111991. The next prime is 11121222112027. The reversal of 11121222112000 is 21122212111.

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

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, 7079071215 + ... + 7079072785.

It is an arithmetic number, because the mean of its divisors is an integer number (22932380016).

Almost surely, 2^{11121222112000} is an apocalyptic number.

11121222112000 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 11121222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813576333824).

11121222112000 is an abundant number, since it is smaller than the sum of its proper divisors (28505930555648).

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

11121222112000 is a wasteful number, since it uses less digits than its factorization.

11121222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1626 counting only the distinct ones).

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

Adding to 11121222112000 its reverse (21122212111), we get a palindrome (11142344324111).

The spelling of 11121222112000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand".