120896280 has 256 divisors, whose sum is σ = 436838400. Its totient is φ = 29652480.

The previous prime is 120896227. The next prime is 120896291. The reversal of 120896280 is 82698021.

120896280 is a `hidden beast` number, since 1 + 20 + 8 + 9 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769962 + ... + 770118.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 2^120896280 is an apocalyptic number.

120896280 is a gapful number since it is divisible by the number (10) 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 120896280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218419200).

120896280 is an abundant number, since it is smaller than the sum of its proper divisors (315942120).

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

120896280 is a wasteful number, since it uses less digits than its factorization.

120896280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120896280 is about 10995.2844437968. The cubic root of 120896280 is about 494.4673793548.

The spelling of 120896280 in words is "one hundred twenty million, eight hundred ninety-six thousand, two hundred eighty".