120734238240 has 576 divisors, whose sum is σ = 527570184960. Its totient is φ = 24408760320.

The previous prime is 120734238217. The next prime is 120734238271. The reversal of 120734238240 is 42832437021.

It is a happy number.

120734238240 is a `hidden beast` number, since 1 + 207 + 3 + 423 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120734238195 and 120734238204.

It is an unprimeable 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 95 ways as a sum of consecutive naturals, for example, 4087846 + ... + 4117274.

It is an arithmetic number, because the mean of its divisors is an integer number (915920460).

Almost surely, 2^120734238240 is an apocalyptic number.

120734238240 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 120734238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263785092480).

120734238240 is an abundant number, since it is smaller than the sum of its proper divisors (406835946720).

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

120734238240 is a wasteful number, since it uses less digits than its factorization.

120734238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29505 (or 29494 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 120734238240 in words is "one hundred twenty billion, seven hundred thirty-four million, two hundred thirty-eight thousand, two hundred forty".