11122408011825 has 192 divisors, whose sum is σ = 22784124579840. Its totient is φ = 5273280288000.

The previous prime is 11122408011823. The next prime is 11122408011863. The reversal of 11122408011825 is 52811080422111.

11122408011825 is a `hidden beast` number, since 1 + 112 + 2 + 408 + 0 + 118 + 25 = 666.

It is not a de Polignac number, because 11122408011825 - 2¹ = 11122408011823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11122408011825.

It is not an unprimeable number, because it can be changed into a prime (11122408011823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412125982 + ... + 412152968.

It is an arithmetic number, because the mean of its divisors is an integer number (118667315520).

Almost surely, 2^{11122408011825} is an apocalyptic number.

11122408011825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11122408011825 is an abundant number, since it is smaller than the sum of its proper divisors (11661716568015).

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

11122408011825 is a wasteful number, since it uses less digits than its factorization.

11122408011825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28245 (or 28234 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

Adding to 11122408011825 its reverse (52811080422111), we get a palindrome (63933488433936).

The spelling of 11122408011825 in words is "eleven trillion, one hundred twenty-two billion, four hundred eight million, eleven thousand, eight hundred twenty-five".