120213320332320 has 288 divisors, whose sum is σ = 411481534464000. Its totient is φ = 31959000225792.

The previous prime is 120213320332291. The next prime is 120213320332321. The reversal of 120213320332320 is 23233023312021.

120213320332320 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 3 + 3 + 2 + 0 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120213320332320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120213320332321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1273412481 + ... + 1273506879.

It is an arithmetic number, because the mean of its divisors is an integer number (1428755328000).

Almost surely, 2^{120213320332320} is an apocalyptic number.

120213320332320 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 120213320332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205740767232000).

120213320332320 is an abundant number, since it is smaller than the sum of its proper divisors (291268214131680).

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

120213320332320 is a wasteful number, since it uses less digits than its factorization.

120213320332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97112 (or 97101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 120213320332320 its reverse (23233023312021), we get a palindrome (143446343644341).

The spelling of 120213320332320 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred twenty million, three hundred thirty-two thousand, three hundred twenty".