1234112442241 has 12 divisors (see below), whose sum is σ = 1435987457940. Its totient is φ = 1057525308000.

The previous prime is 1234112442223. The next prime is 1234112442259. The reversal of 1234112442241 is 1422442114321.

It is an interprime number because it is at equal distance from previous prime (1234112442223) and next prime (1234112442259).

It can be written as a sum of positive squares in 2 ways, for example, as 178150682241 + 1055961760000 = 422079^2 + 1027600^2 .

It is not a de Polignac number, because 1234112442241 - 2³¹ = 1231964958593 is a prime.

It is a super-2 number, since 2×1234112442241² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1234112442041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3213510 + ... + 3576991.

It is an arithmetic number, because the mean of its divisors is an integer number (119665621495).

Almost surely, 2^{1234112442241} is an apocalyptic number.

It is an amenable number.

1234112442241 is a deficient number, since it is larger than the sum of its proper divisors (201875015699).

1234112442241 is an equidigital number, since it uses as much as digits as its factorization.

1234112442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794224 (or 6794217 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

Adding to 1234112442241 its reverse (1422442114321), we get a palindrome (2656554556562).

It can be divided in two parts, 123411 and 2442241, that added together give a palindrome (2565652).

The spelling of 1234112442241 in words is "one trillion, two hundred thirty-four billion, one hundred twelve million, four hundred forty-two thousand, two hundred forty-one".