120210013203200 has 216 divisors, whose sum is σ = 304572425158848. Its totient is φ = 46948131901440.

The previous prime is 120210013203109. The next prime is 120210013203251. The reversal of 120210013203200 is 2302310012021.

It is a super-4 number, since 4×120210013203200⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744885719 + ... + 745047081.

Almost surely, 2^{120210013203200} is an apocalyptic number.

120210013203200 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 120210013203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152286212579424).

120210013203200 is an abundant number, since it is smaller than the sum of its proper divisors (184362411955648).

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

120210013203200 is a wasteful number, since it uses less digits than its factorization.

120210013203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164139 (or 164120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120210013203200 its reverse (2302310012021), we get a palindrome (122512323215221).

The spelling of 120210013203200 in words is "one hundred twenty trillion, two hundred ten billion, thirteen million, two hundred three thousand, two hundred".