120505968 has 200 divisors, whose sum is σ = 388903680. Its totient is φ = 35717760.

The previous prime is 120505963. The next prime is 120505981. The reversal of 120505968 is 869505021.

It is a happy number.

120505968 is a `hidden beast` number, since 12 + 0 + 50 + 596 + 8 = 666.

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 (120505963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1126171 + ... + 1126277.

Almost surely, 2^120505968 is an apocalyptic number.

120505968 is a gapful number since it is divisible by the number (18) 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 120505968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

120505968 is an abundant number, since it is smaller than the sum of its proper divisors (268397712).

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

120505968 is a wasteful number, since it uses less digits than its factorization.

120505968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 120505968 is about 10977.5210316355. The cubic root of 120505968 is about 493.9346785949.

The spelling of 120505968 in words is "one hundred twenty million, five hundred five thousand, nine hundred sixty-eight".