120275110376448 has 352 divisors, whose sum is σ = 337589178458112. Its totient is φ = 38018145484800.

The previous prime is 120275110376437. The next prime is 120275110376483. The reversal of 120275110376448 is 844673011572021.

It is a super-2 number, since 2×120275110376448² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120275110376448.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4093342365 + ... + 4093371747.

Almost surely, 2^{120275110376448} 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 120275110376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168794589229056).

120275110376448 is an abundant number, since it is smaller than the sum of its proper divisors (217314068081664).

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

120275110376448 is a wasteful number, since it uses less digits than its factorization.

120275110376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30301 (or 30283 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 120275110376448 in words is "one hundred twenty trillion, two hundred seventy-five billion, one hundred ten million, three hundred seventy-six thousand, four hundred forty-eight".