212129408 has 64 divisors (see below), whose sum is σ = 439024320. Its totient is φ = 102021120.

The previous prime is 212129389. The next prime is 212129413. The reversal of 212129408 is 804921212.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 435341 + ... + 435827.

It is an arithmetic number, because the mean of its divisors is an integer number (6859755).

Almost surely, 2^212129408 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 212129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219512160).

212129408 is an abundant number, since it is smaller than the sum of its proper divisors (226894912).

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

212129408 is an equidigital number, since it uses as much as digits as its factorization.

212129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 212129408 is about 14564.6629895786. The cubic root of 212129408 is about 596.3944958163.

The spelling of 212129408 in words is "two hundred twelve million, one hundred twenty-nine thousand, four hundred eight".