1201440331224 has 192 divisors, whose sum is σ = 3759679722240. Its totient is φ = 339497452800.

The previous prime is 1201440331207. The next prime is 1201440331253. The reversal of 1201440331224 is 4221330441021.

1201440331224 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 403 + 31 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48193627 + ... + 48218549.

It is an arithmetic number, because the mean of its divisors is an integer number (19581665220).

Almost surely, 2^{1201440331224} is an apocalyptic number.

1201440331224 is a gapful number since it is divisible by the number (14) 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 1201440331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879839861120).

1201440331224 is an abundant number, since it is smaller than the sum of its proper divisors (2558239391016).

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

1201440331224 is a wasteful number, since it uses less digits than its factorization.

1201440331224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990 (or 25983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1201440331224 its reverse (4221330441021), we get a palindrome (5422770772245).

The spelling of 1201440331224 in words is "one trillion, two hundred one billion, four hundred forty million, three hundred thirty-one thousand, two hundred twenty-four".