1012050000 has 360 divisors, whose sum is σ = 3834551448. Its totient is φ = 247680000.

The previous prime is 1012049989. The next prime is 1012050007. The reversal of 1012050000 is 502101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1005143616 + 6906384 = 31704^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012050007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5849914 + ... + 5850086.

Almost surely, 2^1012050000 is an apocalyptic number.

1012050000 is a gapful number since it is divisible by the number (10) 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 1012050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917275724).

1012050000 is an abundant number, since it is smaller than the sum of its proper divisors (2822501448).

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

1012050000 is a wasteful number, since it uses less digits than its factorization.

1012050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

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

The square root of 1012050000 is about 31812.7332997339. The cubic root of 1012050000 is about 1004.0006402011. Note that the first 3 decimals are identical.

Adding to 1012050000 its reverse (502101), we get a palindrome (1012552101).

The spelling of 1012050000 in words is "one billion, twelve million, fifty thousand".