224310234120000 has 1680 divisors, whose sum is σ = 907665734340288. Its totient is φ = 48666562560000.

The previous prime is 224310234119981. The next prime is 224310234120131. The reversal of 224310234120000 is 21432013422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×224310234120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8919947427 + ... + 8919972573.

Almost surely, 2^{224310234120000} is an apocalyptic number.

224310234120000 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 224310234120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453832867170144).

224310234120000 is an abundant number, since it is smaller than the sum of its proper divisors (683355500220288).

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

224310234120000 is a wasteful number, since it uses less digits than its factorization.

224310234120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 25242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 224310234120000 its reverse (21432013422), we get a palindrome (224331666133422).

The spelling of 224310234120000 in words is "two hundred twenty-four trillion, three hundred ten billion, two hundred thirty-four million, one hundred twenty thousand".