120411993 has 24 divisors (see below), whose sum is σ = 174567360. Its totient is φ = 73794240.

The previous prime is 120411989. The next prime is 120412007. The reversal of 120411993 is 399114021.

It is not a de Polignac number, because 120411993 - 2² = 120411989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120411993.

It is not an unprimeable number, because it can be changed into a prime (120411913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222303 + ... + 222843.

It is an arithmetic number, because the mean of its divisors is an integer number (7273640).

Almost surely, 2^120411993 is an apocalyptic number.

120411993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120411993 is a deficient number, since it is larger than the sum of its proper divisors (54155367).

120411993 is a wasteful number, since it uses less digits than its factorization.

120411993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 120411993 is about 10973.2398588566. The cubic root of 120411993 is about 493.8062490423.

The spelling of 120411993 in words is "one hundred twenty million, four hundred eleven thousand, nine hundred ninety-three".