120809384388 has 384 divisors, whose sum is σ = 414121881600. Its totient is φ = 29505254400.

The previous prime is 120809384359. The next prime is 120809384401. The reversal of 120809384388 is 883483908021.

It is a happy number.

120809384388 is a `hidden beast` number, since 1 + 20 + 80 + 93 + 84 + 388 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21643758 + ... + 21649338.

It is an arithmetic number, because the mean of its divisors is an integer number (1078442400).

Almost surely, 2^120809384388 is an apocalyptic number.

120809384388 is a gapful number since it is divisible by the number (18) 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 120809384388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207060940800).

120809384388 is an abundant number, since it is smaller than the sum of its proper divisors (293312497212).

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

120809384388 is a wasteful number, since it uses less digits than its factorization.

120809384388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 120809384388 in words is "one hundred twenty billion, eight hundred nine million, three hundred eighty-four thousand, three hundred eighty-eight".