2001120319 has 16 divisors (see below), whose sum is σ = 2199225600. Its totient is φ = 1805760000.

The previous prime is 2001120301. The next prime is 2001120347. The reversal of 2001120319 is 9130211002.

It is not a de Polignac number, because 2001120319 - 2¹⁷ = 2000989247 is a prime.

It is a super-2 number, since 2×2001120319² = 8008965062229323522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001120296 and 2001120305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001120349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249119 + ... + 1250719.

It is an arithmetic number, because the mean of its divisors is an integer number (137451600).

Almost surely, 2^2001120319 is an apocalyptic number.

2001120319 is a deficient number, since it is larger than the sum of its proper divisors (198105281).

2001120319 is a wasteful number, since it uses less digits than its factorization.

2001120319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 2001120319 is about 44733.8833436133. The cubic root of 2001120319 is about 1260.1562582307.

The spelling of 2001120319 in words is "two billion, one million, one hundred twenty thousand, three hundred nineteen".