120441021312 has 256 divisors, whose sum is σ = 345023078400. Its totient is φ = 37132204032.

The previous prime is 120441021307. The next prime is 120441021329. The reversal of 120441021312 is 213120144021.

It is a super-2 number, since 2×120441021312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39115389 + ... + 39118467.

It is an arithmetic number, because the mean of its divisors is an integer number (1347746400).

Almost surely, 2^120441021312 is an apocalyptic number.

120441021312 is a gapful number since it is divisible by the number (12) 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 120441021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172511539200).

120441021312 is an abundant number, since it is smaller than the sum of its proper divisors (224582057088).

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

120441021312 is a wasteful number, since it uses less digits than its factorization.

120441021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 120441021312 its reverse (213120144021), we get a palindrome (333561165333).

The spelling of 120441021312 in words is "one hundred twenty billion, four hundred forty-one million, twenty-one thousand, three hundred twelve".