11111221011000 has 1024 divisors, whose sum is σ = 39062635223040. Its totient is φ = 2607022080000.

The previous prime is 11111221010993. The next prime is 11111221011013. The reversal of 11111221011000 is 11012211111.

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 255 ways as a sum of consecutive naturals, for example, 43234322872 + ... + 43234323128.

It is an arithmetic number, because the mean of its divisors is an integer number (38147104710).

Almost surely, 2^{11111221011000} is an apocalyptic number.

11111221011000 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 11111221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531317611520).

11111221011000 is an abundant number, since it is smaller than the sum of its proper divisors (27951414212040).

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

11111221011000 is a wasteful number, since it uses less digits than its factorization.

11111221011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111221011000 its reverse (11012211111), we get a palindrome (11122233222111).

It can be divided in two parts, 111112 and 21011000, that added together give a palindrome (21122112).

The spelling of 11111221011000 in words is "eleven trillion, one hundred eleven billion, two hundred twenty-one million, eleven thousand".