19241120 has 48 divisors (see below), whose sum is σ = 46335240. Its totient is φ = 7547904.

The previous prime is 19241119. The next prime is 19241137. The reversal of 19241120 is 2114291.

It can be written as a sum of positive squares in 4 ways, for example, as 12418576 + 6822544 = 3524^2 + 2612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 19241092 and 19241101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7346 + ... + 9614.

Almost surely, 2^19241120 is an apocalyptic number.

19241120 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 19241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23167620).

19241120 is an abundant number, since it is smaller than the sum of its proper divisors (27094120).

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

19241120 is a wasteful number, since it uses less digits than its factorization.

19241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 19241120 is about 4386.4701070451. The cubic root of 19241120 is about 267.9642040258.

The spelling of 19241120 in words is "nineteen million, two hundred forty-one thousand, one hundred twenty".