120406016 has 30 divisors (see below), whose sum is σ = 240837450. Its totient is φ = 60194816.

The previous prime is 120406007. The next prime is 120406031. The reversal of 120406016 is 610604021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 110166016 + 10240000 = 10496^2 + 3200^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12710 + ... + 20058.

It is an arithmetic number, because the mean of its divisors is an integer number (8027915).

Almost surely, 2^120406016 is an apocalyptic number.

120406016 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 120406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120418725).

120406016 is an abundant number, since it is smaller than the sum of its proper divisors (120431434).

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

120406016 is an frugal number, since it uses more digits than its factorization.

120406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 120406016 is about 10972.9675111157. The cubic root of 120406016 is about 493.7980784032.

The spelling of 120406016 in words is "one hundred twenty million, four hundred six thousand, sixteen".