2243412123120 has 360 divisors, whose sum is σ = 8907870797280. Its totient is φ = 504373201920.

The previous prime is 2243412123079. The next prime is 2243412123131. The reversal of 2243412123120 is 213212143422.

2243412123120 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 412 + 123 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1630861 + ... + 2673299.

It is an arithmetic number, because the mean of its divisors is an integer number (24744085548).

Almost surely, 2^{2243412123120} is an apocalyptic number.

2243412123120 is a gapful number since it is divisible by the number (20) 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 2243412123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453935398640).

2243412123120 is an abundant number, since it is smaller than the sum of its proper divisors (6664458674160).

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

2243412123120 is a wasteful number, since it uses less digits than its factorization.

2243412123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042533 (or 1042517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2243412123120 its reverse (213212143422), we get a palindrome (2456624266542).

The spelling of 2243412123120 in words is "two trillion, two hundred forty-three billion, four hundred twelve million, one hundred twenty-three thousand, one hundred twenty".