2007071120 has 40 divisors (see below), whose sum is σ = 4668641664. Its totient is φ = 802449792.

The previous prime is 2007071117. The next prime is 2007071123. The reversal of 2007071120 is 211707002.

It is an interprime number because it is at equal distance from previous prime (2007071117) and next prime (2007071123).

It is a tau number, because it is divible by the number of its divisors (40).

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 = 2007071092 and 2007071101.

It is not an unprimeable number, because it can be changed into a prime (2007071123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216827 + ... + 225893.

Almost surely, 2^2007071120 is an apocalyptic number.

2007071120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007071120 is an abundant number, since it is smaller than the sum of its proper divisors (2661570544).

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

2007071120 is a wasteful number, since it uses less digits than its factorization.

2007071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 2007071120 is about 44800.3473200822. The cubic root of 2007071120 is about 1261.4041455635.

Adding to 2007071120 its reverse (211707002), we get a palindrome (2218778122).

The spelling of 2007071120 in words is "two billion, seven million, seventy-one thousand, one hundred twenty".