120066624 has 280 divisors, whose sum is σ = 398312640. Its totient is φ = 35582976.

The previous prime is 120066599. The next prime is 120066629. The reversal of 120066624 is 426660021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120066629) 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, 2265382 + ... + 2265434.

Almost surely, 2^120066624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).

120066624 is an abundant number, since it is smaller than the sum of its proper divisors (278246016).

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

120066624 is a wasteful number, since it uses less digits than its factorization.

120066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 120066624 is about 10957.4916837751. The cubic root of 120066624 is about 493.3336807075. Note that the first 3 decimals are identical.

The spelling of 120066624 in words is "one hundred twenty million, sixty-six thousand, six hundred twenty-four".