12011141131440 has 160 divisors (see below), whose sum is σ = 40929569125632. Its totient is φ = 2889564288000.

The previous prime is 12011141131417. The next prime is 12011141131481. The reversal of 12011141131440 is 4413114111021.

It is a happy number.

It is a super-2 number, since 2×12011141131440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12011141131440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17019331 + ... + 17711010.

Almost surely, 2^{12011141131440} is an apocalyptic number.

12011141131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011141131440 is an abundant number, since it is smaller than the sum of its proper divisors (28918427994192).

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

12011141131440 is a wasteful number, since it uses less digits than its factorization.

12011141131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34730499 (or 34730493 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 12011141131440 its reverse (4413114111021), we get a palindrome (16424255242461).

The spelling of 12011141131440 in words is "twelve trillion, eleven billion, one hundred forty-one million, one hundred thirty-one thousand, four hundred forty".