4002000012 has 72 divisors (see below), whose sum is σ = 10291008000. Its totient is φ = 1311100128.

The previous prime is 4002000011. The next prime is 4002000017. The reversal of 4002000012 is 2100002004.

4002000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4001999958 and 4002000003.

It is not an unprimeable number, because it can be changed into a prime (4002000011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642489 + ... + 648687.

Almost surely, 2^4002000012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504000).

4002000012 is an abundant number, since it is smaller than the sum of its proper divisors (6289007988).

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

4002000012 is a wasteful number, since it uses less digits than its factorization.

4002000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4002000012 is about 63261.3627105835. The cubic root of 4002000012 is about 1587.6655763148.

Adding to 4002000012 its reverse (2100002004), we get a palindrome (6102002016).

The spelling of 4002000012 in words is "four billion, two million, twelve", and thus it is an aban number.