11213332212000 has 576 divisors, whose sum is σ = 38212679232000. Its totient is φ = 2874412441600.

The previous prime is 11213332211999. The next prime is 11213332212007. The reversal of 11213332212000 is 21223331211.

It is not an unprimeable number, because it can be changed into a prime (11213332212007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2411985676 + ... + 2411990324.

It is an arithmetic number, because the mean of its divisors is an integer number (66341457000).

Almost surely, 2^{11213332212000} is an apocalyptic number.

11213332212000 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 11213332212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106339616000).

11213332212000 is an abundant number, since it is smaller than the sum of its proper divisors (26999347020000).

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

11213332212000 is a wasteful number, since it uses less digits than its factorization.

11213332212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11213332212000 its reverse (21223331211), we get a palindrome (11234555543211).

It can be divided in two parts, 1121333 and 2212000, that added together give a palindrome (3333333).

The spelling of 11213332212000 in words is "eleven trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred twelve thousand".