120641216 has 56 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 58735872.

The previous prime is 120641207. The next prime is 120641221. The reversal of 120641216 is 612146021.

It is a super-3 number, since 3×120641216³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120641191 and 120641200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540881 + ... + 541103.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^120641216 is an apocalyptic number.

120641216 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 120641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

120641216 is an abundant number, since it is smaller than the sum of its proper divisors (125149504).

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

120641216 is a wasteful number, since it uses less digits than its factorization.

120641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 120641216 is about 10983.6795291924. The cubic root of 120641216 is about 494.1193961434.

Adding to 120641216 its reverse (612146021), we get a palindrome (732787237).

The spelling of 120641216 in words is "one hundred twenty million, six hundred forty-one thousand, two hundred sixteen".