11121221212000 has 96 divisors (see below), whose sum is σ = 27340392119040. Its totient is φ = 4445956684800.

The previous prime is 11121221211979. The next prime is 11121221212001. The reversal of 11121221212000 is 21212212111.

It is a super-2 number, since 2×11121221212000² (a number of 27 digits) contains 22 as substring.

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 (11121221212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6245692 + ... + 7826308.

It is an arithmetic number, because the mean of its divisors is an integer number (284795751240).

Almost surely, 2^{11121221212000} is an apocalyptic number.

11121221212000 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 11121221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670196059520).

11121221212000 is an abundant number, since it is smaller than the sum of its proper divisors (16219170907040).

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

11121221212000 is a wasteful number, since it uses less digits than its factorization.

11121221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582401 (or 1582383 counting only the distinct ones).

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

Adding to 11121221212000 its reverse (21212212111), we get a palindrome (11142433424111).

The spelling of 11121221212000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand".