1000412512 has 72 divisors (see below), whose sum is σ = 2223719568. Its totient is φ = 442379520.

The previous prime is 1000412503. The next prime is 1000412519. The reversal of 1000412512 is 2152140001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000412519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139773 + ... + 146755.

It is an arithmetic number, because the mean of its divisors is an integer number (30884994).

Almost surely, 2^1000412512 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 1000412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111859784).

1000412512 is an abundant number, since it is smaller than the sum of its proper divisors (1223307056).

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

1000412512 is a wasteful number, since it uses less digits than its factorization.

1000412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1000412512 is about 31629.2983165925. The cubic root of 1000412512 is about 1000.1374850970.

Adding to 1000412512 its reverse (2152140001), we get a palindrome (3152552513).

The spelling of 1000412512 in words is "one billion, four hundred twelve thousand, five hundred twelve".