131211222401440 has 96 divisors (see below), whose sum is σ = 310415095068624. Its totient is φ = 52411974451200.

The previous prime is 131211222401401. The next prime is 131211222401443. The reversal of 131211222401440 is 44104222112131.

It can be written as a sum of positive squares in 8 ways, for example, as 10029610305936 + 121181612095504 = 3166956^2 + 11008252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131211222401399 and 131211222401408.

It is not an unprimeable number, because it can be changed into a prime (131211222401443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340565392 + ... + 340950448.

Almost surely, 2^{131211222401440} is an apocalyptic number.

131211222401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211222401440 is an abundant number, since it is smaller than the sum of its proper divisors (179203872667184).

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

131211222401440 is a wasteful number, since it uses less digits than its factorization.

131211222401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388010 (or 388002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 131211222401440 its reverse (44104222112131), we get a palindrome (175315444513571).

The spelling of 131211222401440 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred twenty-two million, four hundred one thousand, four hundred forty".