120966300 has 324 divisors, whose sum is σ = 477245496. Its totient is φ = 25401600.

The previous prime is 120966281. The next prime is 120966311. The reversal of 120966300 is 3669021.

It is a happy number.

120966300 is a `hidden beast` number, since 1 + 20 + 9 + 6 + 630 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 573195 + ... + 573405.

Almost surely, 2^120966300 is an apocalyptic number.

120966300 is a gapful number since it is divisible by the number (10) 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 120966300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238622748).

120966300 is an abundant number, since it is smaller than the sum of its proper divisors (356279196).

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

120966300 is a wasteful number, since it uses less digits than its factorization.

120966300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120966300 is about 10998.4680751457. The cubic root of 120966300 is about 494.5628218390.

The spelling of 120966300 in words is "one hundred twenty million, nine hundred sixty-six thousand, three hundred".