120778433424 has 320 divisors, whose sum is σ = 384779777280. Its totient is φ = 35966177280.

The previous prime is 120778433417. The next prime is 120778433453. The reversal of 120778433424 is 424334877021.

120778433424 is a `hidden beast` number, since 1 + 207 + 7 + 8 + 433 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120778433424.

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, 137717274 + ... + 137718150.

It is an arithmetic number, because the mean of its divisors is an integer number (1202436804).

Almost surely, 2^120778433424 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 120778433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192389888640).

120778433424 is an abundant number, since it is smaller than the sum of its proper divisors (264001343856).

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

120778433424 is a wasteful number, since it uses less digits than its factorization.

120778433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 120778433424 in words is "one hundred twenty billion, seven hundred seventy-eight million, four hundred thirty-three thousand, four hundred twenty-four".