120291966 has 80 divisors (see below), whose sum is σ = 294814080. Its totient is φ = 36495360.

The previous prime is 120291961. The next prime is 120291979. The reversal of 120291966 is 669192021.

It is a self number, because there is not a number n which added to its sum of digits gives 120291966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120291961) 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, 84670 + ... + 86078.

It is an arithmetic number, because the mean of its divisors is an integer number (3685176).

Almost surely, 2^120291966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120291966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147407040).

120291966 is an abundant number, since it is smaller than the sum of its proper divisors (174522114).

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

120291966 is a wasteful number, since it uses less digits than its factorization.

120291966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 120291966 is about 10967.7694177075. The cubic root of 120291966 is about 493.6421186938.

The spelling of 120291966 in words is "one hundred twenty million, two hundred ninety-one thousand, nine hundred sixty-six".