1131224320512 has 1600 divisors, whose sum is σ = 4177408878720. Its totient is φ = 300190924800.

The previous prime is 1131224320511. The next prime is 1131224320517. The reversal of 1131224320512 is 2150234221311.

It is a happy number.

1131224320512 is a `hidden beast` number, since 1 + 1 + 3 + 122 + 4 + 3 + 20 + 512 = 666.

It is a super-2 number, since 2×1131224320512² (a number of 25 digits) contains 22 as substring.

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 (1131224320511) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18544660962 + ... + 18544661022.

Almost surely, 2^{1131224320512} is an apocalyptic number.

1131224320512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131224320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088704439360).

1131224320512 is an abundant number, since it is smaller than the sum of its proper divisors (3046184558208).

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

1131224320512 is a wasteful number, since it uses less digits than its factorization.

1131224320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1131224320512 its reverse (2150234221311), we get a palindrome (3281458541823).

The spelling of 1131224320512 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-four million, three hundred twenty thousand, five hundred twelve".