11022223212000 has 1152 divisors, whose sum is σ = 52522067340288. Its totient is φ = 2114145792000.

The previous prime is 11022223211903. The next prime is 11022223212019. The reversal of 11022223212000 is 21232222011.

11022223212000 is a `hidden beast` number, since 1 + 10 + 222 + 232 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35883067 + ... + 36188933.

It is an arithmetic number, because the mean of its divisors is an integer number (45592072344).

Almost surely, 2^{11022223212000} is an apocalyptic number.

11022223212000 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 11022223212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26261033670144).

11022223212000 is an abundant number, since it is smaller than the sum of its proper divisors (41499844128288).

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

11022223212000 is a wasteful number, since it uses less digits than its factorization.

11022223212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305929 (or 305908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11022223212000 its reverse (21232222011), we get a palindrome (11043455434011).

The spelling of 11022223212000 in words is "eleven trillion, twenty-two billion, two hundred twenty-three million, two hundred twelve thousand".