120288469248 has 216 divisors, whose sum is σ = 351913615872. Its totient is φ = 39511425024.

The previous prime is 120288469241. The next prime is 120288469289. The reversal of 120288469248 is 842964882021.

120288469248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×120288469248⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120288469194 and 120288469203.

It is not an unprimeable number, because it can be changed into a prime (120288469241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52919440 + ... + 52921712.

Almost surely, 2^120288469248 is an apocalyptic number.

120288469248 is a gapful number since it is divisible by the number (18) 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 120288469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175956807936).

120288469248 is an abundant number, since it is smaller than the sum of its proper divisors (231625146624).

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

120288469248 is a wasteful number, since it uses less digits than its factorization.

120288469248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 120288469248 in words is "one hundred twenty billion, two hundred eighty-eight million, four hundred sixty-nine thousand, two hundred forty-eight".