120006672 has 120 divisors (see below), whose sum is σ = 338957472. Its totient is φ = 36556800.

The previous prime is 120006643. The next prime is 120006697. The reversal of 120006672 is 276600021.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568647 + ... + 568857.

Almost surely, 2^120006672 is an apocalyptic number.

120006672 is a gapful number since it is divisible by the number (12) 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 120006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169478736).

120006672 is an abundant number, since it is smaller than the sum of its proper divisors (218950800).

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

120006672 is a wasteful number, since it uses less digits than its factorization.

120006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

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

The square root of 120006672 is about 10954.7556796124. The cubic root of 120006672 is about 493.2515561228.

Adding to 120006672 its reverse (276600021), we get a palindrome (396606693).

The spelling of 120006672 in words is "one hundred twenty million, six thousand, six hundred seventy-two".