224010120221312 has 64 divisors (see below), whose sum is σ = 446866160194440. Its totient is φ = 111855559127040.

The previous prime is 224010120221297. The next prime is 224010120221351. The reversal of 224010120221312 is 213122021010422.

It can be written as a sum of positive squares in 4 ways, for example, as 221496068969536 + 2514051251776 = 14882744^2 + 1585576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×224010120221312³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346938518 + ... + 347583594.

Almost surely, 2^{224010120221312} is an apocalyptic number.

It is an amenable number.

224010120221312 is a deficient number, since it is larger than the sum of its proper divisors (222856039973128).

224010120221312 is a wasteful number, since it uses less digits than its factorization.

224010120221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648709 (or 648697 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 224010120221312 its reverse (213122021010422), we get a palindrome (437132141231734).

The spelling of 224010120221312 in words is "two hundred twenty-four trillion, ten billion, one hundred twenty million, two hundred twenty-one thousand, three hundred twelve".