120249832843056 has 320 divisors, whose sum is σ = 371401085952000. Its totient is φ = 32779819100160.

The previous prime is 120249832843013. The next prime is 120249832843057. The reversal of 120249832843056 is 650348238942021.

It is a junction number, because it is equal to n+sod(n) for n = 120249832842987 and 120249832843005.

It is not an unprimeable number, because it can be changed into a prime (120249832843057) 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 63 ways as a sum of consecutive naturals, for example, 8217708316 + ... + 8217722948.

It is an arithmetic number, because the mean of its divisors is an integer number (1160628393600).

Almost surely, 2^{120249832843056} is an apocalyptic number.

120249832843056 is a gapful number since it is divisible by the number (16) 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 120249832843056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185700542976000).

120249832843056 is an abundant number, since it is smaller than the sum of its proper divisors (251151253108944).

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

120249832843056 is a wasteful number, since it uses less digits than its factorization.

120249832843056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17304 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 120249832843056 in words is "one hundred twenty trillion, two hundred forty-nine billion, eight hundred thirty-two million, eight hundred forty-three thousand, fifty-six".