1401120224512 has 144 divisors (see below), whose sum is σ = 3054678978960. Its totient is φ = 638712152064.

The previous prime is 1401120224477. The next prime is 1401120224579. The reversal of 1401120224512 is 2154220211041.

It can be written as a sum of positive squares in 8 ways, for example, as 901011014656 + 500109209856 = 949216^2 + 707184^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36855498 + ... + 36893494.

It is an arithmetic number, because the mean of its divisors is an integer number (21213048465).

Almost surely, 2^{1401120224512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401120224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527339489480).

1401120224512 is an abundant number, since it is smaller than the sum of its proper divisors (1653558754448).

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

1401120224512 is a wasteful number, since it uses less digits than its factorization.

1401120224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38296 (or 38282 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 1401120224512 its reverse (2154220211041), we get a palindrome (3555340435553).

The spelling of 1401120224512 in words is "one trillion, four hundred one billion, one hundred twenty million, two hundred twenty-four thousand, five hundred twelve".