11451122105120 has 48 divisors (see below), whose sum is σ = 27054025282368. Its totient is φ = 4580321975040.

The previous prime is 11451122105077. The next prime is 11451122105153. The reversal of 11451122105120 is 2150122115411.

It is a super-2 number, since 2×11451122105120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11451122105120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4913165 + ... + 6858675.

It is an arithmetic number, because the mean of its divisors is an integer number (563625526716).

Almost surely, 2^{11451122105120} is an apocalyptic number.

11451122105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451122105120 is an abundant number, since it is smaller than the sum of its proper divisors (15602903177248).

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

11451122105120 is a wasteful number, since it uses less digits than its factorization.

11451122105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982313 (or 1982305 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 26.

The spelling of 11451122105120 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-two million, one hundred five thousand, one hundred twenty".