120268770384 has 320 divisors, whose sum is σ = 380848766976. Its totient is φ = 31924150272.

The previous prime is 120268770383. The next prime is 120268770389. The reversal of 120268770384 is 483077862021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120268770383) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 229959147 + ... + 229959669.

Almost surely, 2^120268770384 is an apocalyptic number.

120268770384 is a gapful number since it is divisible by the number (14) 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 120268770384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190424383488).

120268770384 is an abundant number, since it is smaller than the sum of its proper divisors (260579996592).

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

120268770384 is a wasteful number, since it uses less digits than its factorization.

120268770384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 120268770384 in words is "one hundred twenty billion, two hundred sixty-eight million, seven hundred seventy thousand, three hundred eighty-four".