120967704 has 192 divisors, whose sum is σ = 398361600. Its totient is φ = 32659200.

The previous prime is 120967703. The next prime is 120967727. The reversal of 120967704 is 407769021.

It is a happy number.

It is a super-2 number, since 2×120967704² = 29266370822063232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120967703) 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, 318987 + ... + 319365.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^120967704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120967704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

120967704 is an abundant number, since it is smaller than the sum of its proper divisors (277393896).

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

120967704 is a wasteful number, since it uses less digits than its factorization.

120967704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 120967704 is about 10998.5319020313. The cubic root of 120967704 is about 494.5647352191.

The spelling of 120967704 in words is "one hundred twenty million, nine hundred sixty-seven thousand, seven hundred four".