120667200 has 168 divisors, whose sum is σ = 413479488. Its totient is φ = 30750720.

The previous prime is 120667187. The next prime is 120667219. The reversal of 120667200 is 2766021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109854 + ... + 110946.

Almost surely, 2^120667200 is an apocalyptic number.

120667200 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 120667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739744).

120667200 is an abundant number, since it is smaller than the sum of its proper divisors (292812288).

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

120667200 is a wasteful number, since it uses less digits than its factorization.

120667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 120667200 is about 10984.8623113811. The cubic root of 120667200 is about 494.1548684779.

The spelling of 120667200 in words is "one hundred twenty million, six hundred sixty-seven thousand, two hundred".