11220414114024 has 128 divisors (see below), whose sum is σ = 32352782860800. Its totient is φ = 3600551243520.

The previous prime is 11220414114017. The next prime is 11220414114083. The reversal of 11220414114024 is 42041141402211.

11220414114024 is a `hidden beast` number, since 1 + 1 + 2 + 204 + 1 + 411 + 40 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8440087 + ... + 9678630.

It is an arithmetic number, because the mean of its divisors is an integer number (252756116100).

Almost surely, 2^{11220414114024} is an apocalyptic number.

It is an amenable number.

11220414114024 is an abundant number, since it is smaller than the sum of its proper divisors (21132368746776).

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

11220414114024 is a wasteful number, since it uses less digits than its factorization.

11220414114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18118840 (or 18118830 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11220414114024 its reverse (42041141402211), we get a palindrome (53261555516235).

The spelling of 11220414114024 in words is "eleven trillion, two hundred twenty billion, four hundred fourteen million, one hundred fourteen thousand, twenty-four".