120295416 has 64 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 39070080.

The previous prime is 120295397. The next prime is 120295421. The reversal of 120295416 is 614592021.

It is a super-2 number, since 2×120295416² = 28941974221226112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185605 + ... + 186251.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^120295416 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 120295416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

120295416 is an abundant number, since it is smaller than the sum of its proper divisors (188256264).

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

120295416 is a wasteful number, since it uses less digits than its factorization.

120295416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 120295416 is about 10967.9266955975. The cubic root of 120295416 is about 493.6468379035.

The spelling of 120295416 in words is "one hundred twenty million, two hundred ninety-five thousand, four hundred sixteen".