120047993 has 8 divisors (see below), whose sum is σ = 129383688. Its totient is φ = 110726784.

The previous prime is 120047981. The next prime is 120048013. The reversal of 120047993 is 399740021.

It can be written as a sum of positive squares in 4 ways, for example, as 4012009 + 116035984 = 2003^2 + 10772^2 .

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 120047993 - 2⁶ = 120047929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120047933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18755 + ... + 24327.

It is an arithmetic number, because the mean of its divisors is an integer number (16172961).

Almost surely, 2^120047993 is an apocalyptic number.

120047993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120047993 is a deficient number, since it is larger than the sum of its proper divisors (9335695).

120047993 is a wasteful number, since it uses less digits than its factorization.

120047993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 120047993 is about 10956.6415018472. The cubic root of 120047993 is about 493.3081621663.

The spelling of 120047993 in words is "one hundred twenty million, forty-seven thousand, nine hundred ninety-three".