120515154303104 has 384 divisors, whose sum is σ = 283121948678400. Its totient is φ = 50652433612800.

The previous prime is 120515154303079. The next prime is 120515154303157. The reversal of 120515154303104 is 401303451515021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25789673312 + ... + 25789677984.

It is an arithmetic number, because the mean of its divisors is an integer number (737296741350).

Almost surely, 2^{120515154303104} 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 120515154303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141560974339200).

120515154303104 is an abundant number, since it is smaller than the sum of its proper divisors (162606794375296).

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

120515154303104 is a wasteful number, since it uses less digits than its factorization.

120515154303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 120515154303104 in words is "one hundred twenty trillion, five hundred fifteen billion, one hundred fifty-four million, three hundred three thousand, one hundred four".