11220412144131 has 128 divisors (see below), whose sum is σ = 17236941004800. Its totient is φ = 7210742031360.

The previous prime is 11220412144127. The next prime is 11220412144171. The reversal of 11220412144131 is 13144121402211.

11220412144131 is a `hidden beast` number, since 1 + 1 + 2 + 204 + 12 + 1 + 441 + 3 + 1 = 666.

It is not a de Polignac number, because 11220412144131 - 2² = 11220412144127 is a prime.

It is a super-2 number, since 2×11220412144131² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11220412144095 and 11220412144104.

It is not an unprimeable number, because it can be changed into a prime (11220412144171) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10117593805 + ... + 10117594913.

It is an arithmetic number, because the mean of its divisors is an integer number (134663601600).

Almost surely, 2^{11220412144131} is an apocalyptic number.

11220412144131 is a deficient number, since it is larger than the sum of its proper divisors (6016528860669).

11220412144131 is a wasteful number, since it uses less digits than its factorization.

11220412144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11220412144131 its reverse (13144121402211), we get a palindrome (24364533546342).

The spelling of 11220412144131 in words is "eleven trillion, two hundred twenty billion, four hundred twelve million, one hundred forty-four thousand, one hundred thirty-one".