120460525305216 has 256 divisors, whose sum is σ = 339688987796160. Its totient is φ = 37691961901056.

The previous prime is 120460525305193. The next prime is 120460525305223. The reversal of 120460525305216 is 612503525064021.

It is a super-3 number, since 3×120460525305216³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4342940500 + ... + 4342968236.

Almost surely, 2^{120460525305216} is an apocalyptic number.

120460525305216 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 120460525305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169844493898080).

120460525305216 is an abundant number, since it is smaller than the sum of its proper divisors (219228462490944).

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

120460525305216 is a wasteful number, since it uses less digits than its factorization.

120460525305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29501 (or 29489 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 120460525305216 in words is "one hundred twenty trillion, four hundred sixty billion, five hundred twenty-five million, three hundred five thousand, two hundred sixteen".