19930120 has 128 divisors (see below), whose sum is σ = 55987200. Its totient is φ = 6230016.

The previous prime is 19930111. The next prime is 19930129. The reversal of 19930120 is 2103991.

It is an interprime number because it is at equal distance from previous prime (19930111) and next prime (19930129).

It is not an unprimeable number, because it can be changed into a prime (19930129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252241 + ... + 252319.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 2^19930120 is an apocalyptic number.

19930120 is a gapful number since it is divisible by the number (10) 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 19930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993600).

19930120 is an abundant number, since it is smaller than the sum of its proper divisors (36057080).

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

19930120 is a wasteful number, since it uses less digits than its factorization.

19930120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 19930120 is about 4464.3162970381. The cubic root of 19930120 is about 271.1252535746.

The spelling of 19930120 in words is "nineteen million, nine hundred thirty thousand, one hundred twenty".