120334331440 has 80 divisors (see below), whose sum is σ = 285135821568. Its totient is φ = 47220588288.

The previous prime is 120334331423. The next prime is 120334331441. The reversal of 120334331440 is 44133433021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120334331440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120334331399 and 120334331408.

It is not an unprimeable number, because it can be changed into a prime (120334331441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813439 + ... + 949921.

Almost surely, 2^120334331440 is an apocalyptic number.

120334331440 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 120334331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142567910784).

120334331440 is an abundant number, since it is smaller than the sum of its proper divisors (164801490128).

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

120334331440 is a wasteful number, since it uses less digits than its factorization.

120334331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136706 (or 136700 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 120334331440 its reverse (44133433021), we get a palindrome (164467764461).

The spelling of 120334331440 in words is "one hundred twenty billion, three hundred thirty-four million, three hundred thirty-one thousand, four hundred forty".