120004968 has 64 divisors (see below), whose sum is σ = 312952320. Its totient is φ = 38304000.

The previous prime is 120004957. The next prime is 120004979. The reversal of 120004968 is 869400021.

It is an interprime number because it is at equal distance from previous prime (120004957) and next prime (120004979).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74346 + ... + 75942.

It is an arithmetic number, because the mean of its divisors is an integer number (4889880).

Almost surely, 2^120004968 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 120004968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156476160).

120004968 is an abundant number, since it is smaller than the sum of its proper divisors (192947352).

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

120004968 is a wasteful number, since it uses less digits than its factorization.

120004968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 120004968 is about 10954.6779048952. The cubic root of 120004968 is about 493.2492215175.

Adding to 120004968 its reverse (869400021), we get a palindrome (989404989).

The spelling of 120004968 in words is "one hundred twenty million, four thousand, nine hundred sixty-eight".