120066100 has 144 divisors (see below), whose sum is σ = 335978496. Its totient is φ = 36144000.

The previous prime is 120066097. The next prime is 120066103. The reversal of 120066100 is 1660021.

It is an interprime number because it is at equal distance from previous prime (120066097) and next prime (120066103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120066103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238449 + ... + 238951.

It is an arithmetic number, because the mean of its divisors is an integer number (2333184).

Almost surely, 2^120066100 is an apocalyptic number.

120066100 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 120066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

120066100 is an abundant number, since it is smaller than the sum of its proper divisors (215912396).

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

120066100 is a wasteful number, since it uses less digits than its factorization.

120066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120066100 is about 10957.4677731673. The cubic root of 120066100 is about 493.3329630303.

The spelling of 120066100 in words is "one hundred twenty million, sixty-six thousand, one hundred".