11145101431122 has 32 divisors (see below), whose sum is σ = 25012108834560. Its totient is φ = 3678251295600.

The previous prime is 11145101431111. The next prime is 11145101431129. The reversal of 11145101431122 is 22113410154111.

11145101431122 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 101 + 431 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11145101431129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1021731018 + ... + 1021741925.

It is an arithmetic number, because the mean of its divisors is an integer number (781628401080).

Almost surely, 2^{11145101431122} is an apocalyptic number.

11145101431122 is an abundant number, since it is smaller than the sum of its proper divisors (13867007403438).

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

11145101431122 is a wasteful number, since it uses less digits than its factorization.

11145101431122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043473055 (or 2043473049 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 11145101431122 its reverse (22113410154111), we get a palindrome (33258511585233).

The spelling of 11145101431122 in words is "eleven trillion, one hundred forty-five billion, one hundred one million, four hundred thirty-one thousand, one hundred twenty-two".