1000212480 has 144 divisors (see below), whose sum is σ = 3466876140. Its totient is φ = 266698752.

The previous prime is 1000212469. The next prime is 1000212481. The reversal of 1000212480 is 842120001.

It can be written as a sum of positive squares in 2 ways, for example, as 997549056 + 2663424 = 31584^2 + 1632^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (1000212481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86734 + ... + 97586.

Almost surely, 2^1000212480 is an apocalyptic number.

1000212480 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 1000212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733438070).

1000212480 is an abundant number, since it is smaller than the sum of its proper divisors (2466663660).

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

1000212480 is a wasteful number, since it uses less digits than its factorization.

1000212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1000212480 is about 31626.1360270268. The cubic root of 1000212480 is about 1000.0708216508.

Adding to 1000212480 its reverse (842120001), we get a palindrome (1842332481).

The spelling of 1000212480 in words is "one billion, two hundred twelve thousand, four hundred eighty".