120224211403230 has 256 divisors, whose sum is σ = 350852267750400. Its totient is φ = 29052873400320.

The previous prime is 120224211403201. The next prime is 120224211403357. The reversal of 120224211403230 is 32304112422021.

120224211403230 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 4 + 21 + 1 + 403 + 230 = 666.

It is a super-3 number, since 3×120224211403230³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120224211403194 and 120224211403203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6839072581 + ... + 6839090159.

It is an arithmetic number, because the mean of its divisors is an integer number (1370516670900).

Almost surely, 2^{120224211403230} is an apocalyptic number.

120224211403230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120224211403230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175426133875200).

120224211403230 is an abundant number, since it is smaller than the sum of its proper divisors (230628056347170).

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

120224211403230 is a wasteful number, since it uses less digits than its factorization.

120224211403230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24776 (or 24770 counting only the distinct ones).

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

Adding to 120224211403230 its reverse (32304112422021), we get a palindrome (152528323825251).

The spelling of 120224211403230 in words is "one hundred twenty trillion, two hundred twenty-four billion, two hundred eleven million, four hundred three thousand, two hundred thirty".