120433342220240 has 320 divisors, whose sum is σ = 338847227389440. Its totient is φ = 38887066828800.

The previous prime is 120433342220231. The next prime is 120433342220287. The reversal of 120433342220240 is 42022243334021.

120433342220240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120433342220197 and 120433342220206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250077352 + ... + 1250173688.

It is an arithmetic number, because the mean of its divisors is an integer number (1058897585592).

Almost surely, 2^{120433342220240} is an apocalyptic number.

120433342220240 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 120433342220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169423613694720).

120433342220240 is an abundant number, since it is smaller than the sum of its proper divisors (218413885169200).

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

120433342220240 is a wasteful number, since it uses less digits than its factorization.

120433342220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97070 (or 97064 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 120433342220240 its reverse (42022243334021), we get a palindrome (162455585554261).

The spelling of 120433342220240 in words is "one hundred twenty trillion, four hundred thirty-three billion, three hundred forty-two million, two hundred twenty thousand, two hundred forty".