224120235040000 has 360 divisors, whose sum is σ = 613388751949512. Its totient is φ = 81190686720000.

The previous prime is 224120235039983. The next prime is 224120235040027. The reversal of 224120235040000 is 40532021422.

It can be written as a sum of positive squares in 20 ways, for example, as 223027223337216 + 1093011702784 = 14934096^2 + 1045472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109223490 + ... + 111256510.

Almost surely, 2^{224120235040000} is an apocalyptic number.

224120235040000 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 224120235040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306694375974756).

224120235040000 is an abundant number, since it is smaller than the sum of its proper divisors (389268516909512).

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

224120235040000 is an equidigital number, since it uses as much as digits as its factorization.

224120235040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033123 (or 2033094 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 224120235040000 its reverse (40532021422), we get a palindrome (224160767061422).

The spelling of 224120235040000 in words is "two hundred twenty-four trillion, one hundred twenty billion, two hundred thirty-five million, forty thousand".