120962016 has 144 divisors (see below), whose sum is σ = 406879200. Its totient is φ = 33352704.

The previous prime is 120961993. The next prime is 120962027. The reversal of 120962016 is 610269021.

120962016 is a `hidden beast` number, since 1 + 20 + 9 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57430 + ... + 59498.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^120962016 is an apocalyptic number.

120962016 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 120962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203439600).

120962016 is an abundant number, since it is smaller than the sum of its proper divisors (285917184).

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

120962016 is a wasteful number, since it uses less digits than its factorization.

120962016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120962016 is about 10998.2733190260. The cubic root of 120962016 is about 494.5569834853.

The spelling of 120962016 in words is "one hundred twenty million, nine hundred sixty-two thousand, sixteen".