120886509744 has 960 divisors, whose sum is σ = 475769548800. Its totient is φ = 27867248640.

The previous prime is 120886509743. The next prime is 120886509767. The reversal of 120886509744 is 447905688021.

It is a happy number.

120886509744 is a `hidden beast` number, since 12 + 0 + 8 + 86 + 509 + 7 + 44 = 666.

120886509744 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120886509744² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120886509743) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505801177 + ... + 505801415.

It is an arithmetic number, because the mean of its divisors is an integer number (495593280).

Almost surely, 2^120886509744 is an apocalyptic number.

120886509744 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 120886509744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237884774400).

120886509744 is an abundant number, since it is smaller than the sum of its proper divisors (354883039056).

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

120886509744 is a wasteful number, since it uses less digits than its factorization.

120886509744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 120886509744 in words is "one hundred twenty billion, eight hundred eighty-six million, five hundred nine thousand, seven hundred forty-four".