120210264000 has 896 divisors, whose sum is σ = 491844787200. Its totient is φ = 28565913600.

The previous prime is 120210263989. The next prime is 120210264007. The reversal of 120210264000 is 462012021.

120210264000 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 0 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210264007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69767139 + ... + 69768861.

Almost surely, 2^120210264000 is an apocalyptic number.

120210264000 is a gapful number since it is divisible by the number (10) 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 120210264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245922393600).

120210264000 is an abundant number, since it is smaller than the sum of its proper divisors (371634523200).

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

120210264000 is a wasteful number, since it uses less digits than its factorization.

120210264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120210264000 its reverse (462012021), we get a palindrome (120672276021).

The spelling of 120210264000 in words is "one hundred twenty billion, two hundred ten million, two hundred sixty-four thousand".