2000014120 has 128 divisors (see below), whose sum is σ = 4952132640. Its totient is φ = 722534400.

The previous prime is 2000014109. The next prime is 2000014183. The reversal of 2000014120 is 214100002.

It can be written as a sum of positive squares in 16 ways, for example, as 1387684 + 1998626436 = 1178^2 + 44706^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2000014097 and 2000014106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5934592 + ... + 5934928.

Almost surely, 2^2000014120 is an apocalyptic number.

2000014120 is a gapful number since it is divisible by the number (20) 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 2000014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476066320).

2000014120 is an abundant number, since it is smaller than the sum of its proper divisors (2952118520).

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

2000014120 is a wasteful number, since it uses less digits than its factorization.

2000014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2000014120 is about 44721.5174161164. The cubic root of 2000014120 is about 1259.9240149021.

Adding to 2000014120 its reverse (214100002), we get a palindrome (2214114122).

The spelling of 2000014120 in words is "two billion, fourteen thousand, one hundred twenty".