120727116 has 72 divisors (see below), whose sum is σ = 317837520. Its totient is φ = 38591616.

The previous prime is 120727109. The next prime is 120727129. The reversal of 120727116 is 611727021.

It is a self number, because there is not a number n which added to its sum of digits gives 120727116.

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, 205375 + ... + 205961.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2^120727116 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 120727116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158918760).

120727116 is an abundant number, since it is smaller than the sum of its proper divisors (197110404).

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

120727116 is a wasteful number, since it uses less digits than its factorization.

120727116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 120727116 is about 10987.5891805255. The cubic root of 120727116 is about 494.2366440391.

The spelling of 120727116 in words is "one hundred twenty million, seven hundred twenty-seven thousand, one hundred sixteen".