2241234414012 has 96 divisors (see below), whose sum is σ = 5840254586880. Its totient is φ = 663124496320.

The previous prime is 2241234413989. The next prime is 2241234414049. The reversal of 2241234414012 is 2104144321422.

It is a super-4 number, since 4×2241234414012⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2168383 + ... + 3030569.

It is an arithmetic number, because the mean of its divisors is an integer number (60835985280).

Almost surely, 2^{2241234414012} is an apocalyptic number.

2241234414012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241234414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920127293440).

2241234414012 is an abundant number, since it is smaller than the sum of its proper divisors (3599020172868).

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

2241234414012 is a wasteful number, since it uses less digits than its factorization.

2241234414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862671 (or 862669 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2241234414012 its reverse (2104144321422), we get a palindrome (4345378735434).

The spelling of 2241234414012 in words is "two trillion, two hundred forty-one billion, two hundred thirty-four million, four hundred fourteen thousand, twelve".