12141333431240 has 64 divisors (see below), whose sum is σ = 29435060838960. Its totient is φ = 4480565160960.

The previous prime is 12141333431237. The next prime is 12141333431243. The reversal of 12141333431240 is 4213433314121.

It is an interprime number because it is at equal distance from previous prime (12141333431237) and next prime (12141333431243).

It can be written as a sum of positive squares in 8 ways, for example, as 1359737902084 + 10781595529156 = 1166078^2 + 3283534^2 .

It is a super-3 number, since 3×12141333431240³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12141333431197 and 12141333431206.

It is not an unprimeable number, because it can be changed into a prime (12141333431243) 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, 5243651 + ... + 7195730.

Almost surely, 2^{12141333431240} is an apocalyptic number.

12141333431240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141333431240 is an abundant number, since it is smaller than the sum of its proper divisors (17293727407720).

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

12141333431240 is a wasteful number, since it uses less digits than its factorization.

12141333431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12441282 (or 12441278 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 12141333431240 its reverse (4213433314121), we get a palindrome (16354766745361).

The spelling of 12141333431240 in words is "twelve trillion, one hundred forty-one billion, three hundred thirty-three million, four hundred thirty-one thousand, two hundred forty".