1076212000 has 96 divisors (see below), whose sum is σ = 2668773744. Its totient is φ = 426496000.

The previous prime is 1076211977. The next prime is 1076212009. The reversal of 1076212000 is 2126701.

It can be written as a sum of positive squares in 8 ways, for example, as 269879184 + 806332816 = 16428^2 + 28396^2 .

It is not an unprimeable number, because it can be changed into a prime (1076212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450810 + ... + 453190.

Almost surely, 2^1076212000 is an apocalyptic number.

1076212000 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 1076212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334386872).

1076212000 is an abundant number, since it is smaller than the sum of its proper divisors (1592561744).

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

1076212000 is a wasteful number, since it uses less digits than its factorization.

1076212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1076212000 is about 32805.6702415909. The cubic root of 1076212000 is about 1024.7846464089.

Adding to 1076212000 its reverse (2126701), we get a palindrome (1078338701).

The spelling of 1076212000 in words is "one billion, seventy-six million, two hundred twelve thousand".