120288896 has 128 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 45416448.

The previous prime is 120288881. The next prime is 120288899. The reversal of 120288896 is 698882021.

120288896 = T₁ + T₂ + ... + T₈₉₆.

120288896 is a nontrivial binomial coefficient, being equal to C(898, 3).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (120288899) by changing a digit.

It is the 896-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267680 + ... + 268128.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^120288896 is an apocalyptic number.

120288896 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 120288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

120288896 is an abundant number, since it is smaller than the sum of its proper divisors (188159104).

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

120288896 is a wasteful number, since it uses less digits than its factorization.

120288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 120288896 is about 10967.6294612829. The cubic root of 120288896 is about 493.6379192053.

The spelling of 120288896 in words is "one hundred twenty million, two hundred eighty-eight thousand, eight hundred ninety-six".