120200223303234 has 120 divisors (see below), whose sum is σ = 281588563359180. Its totient is φ = 38320413956352.

The previous prime is 120200223303217. The next prime is 120200223303253. The reversal of 120200223303234 is 432303322002021.

120200223303234 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 0 + 2 + 2 + 330 + 323 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78020069412609 + 42180153890625 = 8832897^2 + 6494625^2 .

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 = 120200223303198 and 120200223303207.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 813800062 + ... + 813947750.

Almost surely, 2^{120200223303234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200223303234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140794281679590).

120200223303234 is an abundant number, since it is smaller than the sum of its proper divisors (161388340055946).

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

120200223303234 is a wasteful number, since it uses less digits than its factorization.

120200223303234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157246 (or 157214 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 120200223303234 its reverse (432303322002021), we get a palindrome (552503545305255).

The spelling of 120200223303234 in words is "one hundred twenty trillion, two hundred billion, two hundred twenty-three million, three hundred three thousand, two hundred thirty-four".