120822934461320 has 768 divisors, whose sum is σ = 352322550720000. Its totient is φ = 37235990937600.

The previous prime is 120822934461109. The next prime is 120822934461329. The reversal of 120822934461320 is 23164439228021.

It is a super-2 number, since 2×120822934461320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120822934461329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76908296135 + ... + 76908297705.

It is an arithmetic number, because the mean of its divisors is an integer number (458753321250).

Almost surely, 2^{120822934461320} is an apocalyptic number.

120822934461320 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 120822934461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176161275360000).

120822934461320 is an abundant number, since it is smaller than the sum of its proper divisors (231499616258680).

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

120822934461320 is a wasteful number, since it uses less digits than its factorization.

120822934461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 120822934461320 in words is "one hundred twenty trillion, eight hundred twenty-two billion, nine hundred thirty-four million, four hundred sixty-one thousand, three hundred twenty".