120953509248 has 256 divisors, whose sum is σ = 377979033600. Its totient is φ = 33785856000.

The previous prime is 120953509189. The next prime is 120953509279. The reversal of 120953509248 is 842905359021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 120953509197 and 120953509206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61994673 + ... + 61996623.

It is an arithmetic number, because the mean of its divisors is an integer number (1476480600).

Almost surely, 2^120953509248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120953509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188989516800).

120953509248 is an abundant number, since it is smaller than the sum of its proper divisors (257025524352).

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

120953509248 is a wasteful number, since it uses less digits than its factorization.

120953509248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 120953509248 in words is "one hundred twenty billion, nine hundred fifty-three million, five hundred nine thousand, two hundred forty-eight".