120113001010320 has 320 divisors, whose sum is σ = 393385817410560. Its totient is φ = 30233197209600.

The previous prime is 120113001010283. The next prime is 120113001010351. The reversal of 120113001010320 is 23010100311021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120113001010320.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1407570055 + ... + 1407655385.

It is an arithmetic number, because the mean of its divisors is an integer number (1229330679408).

Almost surely, 2^{120113001010320} is an apocalyptic number.

120113001010320 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 120113001010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196692908705280).

120113001010320 is an abundant number, since it is smaller than the sum of its proper divisors (273272816400240).

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

120113001010320 is a wasteful number, since it uses less digits than its factorization.

120113001010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86494 (or 86488 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120113001010320 its reverse (23010100311021), we get a palindrome (143123101321341).

The spelling of 120113001010320 in words is "one hundred twenty trillion, one hundred thirteen billion, one million, ten thousand, three hundred twenty".