120408288 has 288 divisors, whose sum is σ = 434367360. Its totient is φ = 28707840.

The previous prime is 120408287. The next prime is 120408307. The reversal of 120408288 is 882804021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120408287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672583 + ... + 672761.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^120408288 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 120408288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

120408288 is an abundant number, since it is smaller than the sum of its proper divisors (313959072).

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

120408288 is a wasteful number, since it uses less digits than its factorization.

120408288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 120408288 is about 10973.0710377724. The cubic root of 120408288 is about 493.8011842895.

The spelling of 120408288 in words is "one hundred twenty million, four hundred eight thousand, two hundred eighty-eight".