1211131440144 has 120 divisors (see below), whose sum is σ = 3426300277400. Its totient is φ = 399338035200.

The previous prime is 1211131440137. The next prime is 1211131440163. The reversal of 1211131440144 is 4410441311121.

1211131440144 is a `hidden beast` number, since 1 + 211 + 1 + 3 + 1 + 4 + 401 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 892344729600 + 318786710544 = 944640^2 + 564612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9369102 + ... + 9497490.

Almost surely, 2^{1211131440144} 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 1211131440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713150138700).

1211131440144 is an abundant number, since it is smaller than the sum of its proper divisors (2215168837256).

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

1211131440144 is a wasteful number, since it uses less digits than its factorization.

1211131440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129113 (or 129104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1211131440144 its reverse (4410441311121), we get a palindrome (5621572751265).

The spelling of 1211131440144 in words is "one trillion, two hundred eleven billion, one hundred thirty-one million, four hundred forty thousand, one hundred forty-four".