4121002000 has 160 divisors (see below), whose sum is σ = 10512612864. Its totient is φ = 1559360000.

The previous prime is 4121001991. The next prime is 4121002003. The reversal of 4121002000 is 2001214.

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

It is not an unprimeable number, because it can be changed into a prime (4121002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645557 + ... + 4646443.

Almost surely, 2^4121002000 is an apocalyptic number.

4121002000 is a gapful number since it is divisible by the number (40) 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 4121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256306432).

4121002000 is an abundant number, since it is smaller than the sum of its proper divisors (6391610864).

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

4121002000 is a wasteful number, since it uses less digits than its factorization.

4121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1018 counting only the distinct ones).

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

The square root of 4121002000 is about 64195.0309603477. The cubic root of 4121002000 is about 1603.2488673231.

Adding to 4121002000 its reverse (2001214), we get a palindrome (4123003214).

The spelling of 4121002000 in words is "four billion, one hundred twenty-one million, two thousand".