120843735459840 has 1728 divisors, whose sum is σ = 450844049008080. Its totient is φ = 31061877719040.

The previous prime is 120843735459817. The next prime is 120843735459847. The reversal of 120843735459840 is 48954537348021.

It is a happy number.

120843735459840 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 4 + 3 + 7 + 3 + 545 + 9 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 110362924901376 + 10480810558464 = 10505376^2 + 3237408^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (120843735459847) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 430048880500 + ... + 430048880780.

Almost surely, 2^{120843735459840} is an apocalyptic number.

120843735459840 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 120843735459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225422024504040).

120843735459840 is an abundant number, since it is smaller than the sum of its proper divisors (330000313548240).

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

120843735459840 is an frugal number, since it uses more digits than its factorization.

120843735459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 120843735459840 in words is "one hundred twenty trillion, eight hundred forty-three billion, seven hundred thirty-five million, four hundred fifty-nine thousand, eight hundred forty".