11012223450120 has 256 divisors, whose sum is σ = 34352252928000. Its totient is φ = 2821067136000.

The previous prime is 11012223450113. The next prime is 11012223450143. The reversal of 11012223450120 is 2105432221011.

It is a happy number.

It is a super-2 number, since 2×11012223450120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 909418626 + ... + 909430734.

It is an arithmetic number, because the mean of its divisors is an integer number (134188488000).

Almost surely, 2^{11012223450120} is an apocalyptic number.

11012223450120 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 11012223450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176126464000).

11012223450120 is an abundant number, since it is smaller than the sum of its proper divisors (23340029477880).

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

11012223450120 is a wasteful number, since it uses less digits than its factorization.

11012223450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11012223450120 its reverse (2105432221011), we get a palindrome (13117655671131).

The spelling of 11012223450120 in words is "eleven trillion, twelve billion, two hundred twenty-three million, four hundred fifty thousand, one hundred twenty".