120236256 has 288 divisors, whose sum is σ = 426666240. Its totient is φ = 31352832.

The previous prime is 120236239. The next prime is 120236261. The reversal of 120236256 is 652632021.

120236256 = 255³ + 256³ + ... + 261³.

120236256 is a `hidden beast` number, since 12 + 0 + 23 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647036 + ... + 1647108.

It is an arithmetic number, because the mean of its divisors is an integer number (1481480).

Almost surely, 2^120236256 is an apocalyptic number.

120236256 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 120236256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213333120).

120236256 is an abundant number, since it is smaller than the sum of its proper divisors (306429984).

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

120236256 is a wasteful number, since it uses less digits than its factorization.

120236256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 120236256 is about 10965.2294093649. The cubic root of 120236256 is about 493.5659012210.

Adding to 120236256 its reverse (652632021), we get a palindrome (772868277).

The spelling of 120236256 in words is "one hundred twenty million, two hundred thirty-six thousand, two hundred fifty-six".