212210134400 has 192 divisors, whose sum is σ = 582677550000. Its totient is φ = 75710668800.

The previous prime is 212210134391. The next prime is 212210134427. The reversal of 212210134400 is 4431012212.

It is a super-2 number, since 2×212210134400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1808726 + ... + 1922474.

Almost surely, 2^212210134400 is an apocalyptic number.

212210134400 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 212210134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291338775000).

212210134400 is an abundant number, since it is smaller than the sum of its proper divisors (370467415600).

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

212210134400 is a wasteful number, since it uses less digits than its factorization.

212210134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113837 (or 113820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212210134400 its reverse (4431012212), we get a palindrome (216641146612).

The spelling of 212210134400 in words is "two hundred twelve billion, two hundred ten million, one hundred thirty-four thousand, four hundred".