1322252401140 has 144 divisors (see below), whose sum is σ = 4376370974976. Its totient is φ = 320478816000.

The previous prime is 1322252401139. The next prime is 1322252401157. The reversal of 1322252401140 is 411042522231.

1322252401140 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 252 + 401 + 1 + 4 + 0 = 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, 9719590 + ... + 9854690.

It is an arithmetic number, because the mean of its divisors is an integer number (30391465104).

Almost surely, 2^{1322252401140} is an apocalyptic number.

1322252401140 is a gapful number since it is divisible by the number (10) 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 1322252401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188185487488).

1322252401140 is an abundant number, since it is smaller than the sum of its proper divisors (3054118573836).

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

1322252401140 is a wasteful number, since it uses less digits than its factorization.

1322252401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140070 (or 140065 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1322252401140 its reverse (411042522231), we get a palindrome (1733294923371).

The spelling of 1322252401140 in words is "one trillion, three hundred twenty-two billion, two hundred fifty-two million, four hundred one thousand, one hundred forty".