120272633 has 8 divisors (see below), whose sum is σ = 129717000. Its totient is φ = 110855808.

The previous prime is 120272623. The next prime is 120272689. The reversal of 120272633 is 336272021.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 120187369 = 292^2 + 10963^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120272633 - 2⁴ = 120272617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120272623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2693 + ... + 15741.

It is an arithmetic number, because the mean of its divisors is an integer number (16214625).

Almost surely, 2^120272633 is an apocalyptic number.

120272633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120272633 is a deficient number, since it is larger than the sum of its proper divisors (9444367).

120272633 is a wasteful number, since it uses less digits than its factorization.

120272633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 120272633 is about 10966.8880271479. Note that the first 3 decimals coincide. The cubic root of 120272633 is about 493.6156716675.

The spelling of 120272633 in words is "one hundred twenty million, two hundred seventy-two thousand, six hundred thirty-three".