1012830000 has 600 divisors, whose sum is σ = 4173201648. Its totient is φ = 209664000.

The previous prime is 1012829999. The next prime is 1012830019. The reversal of 1012830000 is 382101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19109974 + ... + 19110026.

Almost surely, 2^1012830000 is an apocalyptic number.

1012830000 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 1012830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086600824).

1012830000 is an abundant number, since it is smaller than the sum of its proper divisors (3160371648).

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

1012830000 is a wasteful number, since it uses less digits than its factorization.

1012830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1012830000 is about 31824.9901806741. The cubic root of 1012830000 is about 1004.2585060504.

The spelling of 1012830000 in words is "one billion, twelve million, eight hundred thirty thousand".