120113321322000 has 640 divisors, whose sum is σ = 398944465920000. Its totient is φ = 31073389670400.

The previous prime is 120113321321999. The next prime is 120113321322019. The reversal of 120113321322000 is 223123311021.

120113321322000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25836375676 + ... + 25836380324.

It is an arithmetic number, because the mean of its divisors is an integer number (623350728000).

Almost surely, 2^{120113321322000} is an apocalyptic number.

120113321322000 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 120113321322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199472232960000).

120113321322000 is an abundant number, since it is smaller than the sum of its proper divisors (278831144598000).

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

120113321322000 is a wasteful number, since it uses less digits than its factorization.

120113321322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120113321322000 its reverse (223123311021), we get a palindrome (120336444633021).

The spelling of 120113321322000 in words is "one hundred twenty trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred twenty-two thousand".