5001012000 has 144 divisors (see below), whose sum is σ = 17748719352. Its totient is φ = 1333593600.

The previous prime is 5001011999. The next prime is 5001012007. The reversal of 5001012000 is 2101005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 353590416 + 4647421584 = 18804^2 + 68172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5001012007) 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, 33459 + ... + 105458.

Almost surely, 2^5001012000 is an apocalyptic number.

5001012000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5001012000 is an abundant number, since it is smaller than the sum of its proper divisors (12747707352).

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

5001012000 is a wasteful number, since it uses less digits than its factorization.

5001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138948 (or 138927 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5001012000 is about 70717.8336772274. The cubic root of 5001012000 is about 1710.0913052714.

Adding to 5001012000 its reverse (2101005), we get a palindrome (5003113005).

The spelling of 5001012000 in words is "five billion, one million, twelve thousand".