120076369920 has 912 divisors, whose sum is σ = 480917979360. Its totient is φ = 28538044416.

The previous prime is 120076369913. The next prime is 120076369927. The reversal of 120076369920 is 29963670021.

It is a happy number.

120076369920 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 636 + 9 + 9 + 2 + 0 = 666.

120076369920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120076369913) and next prime (120076369927).

It is a super-2 number, since 2×120076369920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120076369927) 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 47 ways as a sum of consecutive naturals, for example, 4140564466 + ... + 4140564494.

Almost surely, 2^120076369920 is an apocalyptic number.

120076369920 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 120076369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240458989680).

120076369920 is an abundant number, since it is smaller than the sum of its proper divisors (360841609440).

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

120076369920 is an frugal number, since it uses more digits than its factorization.

120076369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 120076369920 in words is "one hundred twenty billion, seventy-six million, three hundred sixty-nine thousand, nine hundred twenty".