212413133440 has 64 divisors (see below), whose sum is σ = 508208625000. Its totient is φ = 84896907264.

The previous prime is 212413133411. The next prime is 212413133473. The reversal of 212413133440 is 44331314212.

It is a happy number.

212413133440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 137866660416 + 74546473024 = 371304^2 + 273032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 212413133399 and 212413133408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666496 + ... + 932224.

Almost surely, 2^212413133440 is an apocalyptic number.

212413133440 is a gapful number since it is divisible by the number (20) 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 212413133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254104312500).

212413133440 is an abundant number, since it is smaller than the sum of its proper divisors (295795491560).

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

212413133440 is a wasteful number, since it uses less digits than its factorization.

212413133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266997 (or 266985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 212413133440 its reverse (44331314212), we get a palindrome (256744447652).

The spelling of 212413133440 in words is "two hundred twelve billion, four hundred thirteen million, one hundred thirty-three thousand, four hundred forty".