2003127120 has 120 divisors (see below), whose sum is σ = 6757101000. Its totient is φ = 531790848.

The previous prime is 2003127101. The next prime is 2003127131. The reversal of 2003127120 is 217213002.

It can be written as a sum of positive squares in 4 ways, for example, as 1250612496 + 752514624 = 35364^2 + 27432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003127093 and 2003127102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158806 + ... + 170954.

It is an arithmetic number, because the mean of its divisors is an integer number (56309175).

Almost surely, 2^2003127120 is an apocalyptic number.

2003127120 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 2003127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378550500).

2003127120 is an abundant number, since it is smaller than the sum of its proper divisors (4753973880).

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

2003127120 is a wasteful number, since it uses less digits than its factorization.

2003127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12397 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2003127120 is about 44756.3081587389. The cubic root of 2003127120 is about 1260.5773620048.

The spelling of 2003127120 in words is "two billion, three million, one hundred twenty-seven thousand, one hundred twenty".