212809617400 has 192 divisors, whose sum is σ = 516746926080. Its totient is φ = 81438988800.

The previous prime is 212809617341. The next prime is 212809617409. The reversal of 212809617400 is 4716908212.

212809617400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212809617409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172874785 + ... + 172876015.

It is an arithmetic number, because the mean of its divisors is an integer number (2691390240).

Almost surely, 2^212809617400 is an apocalyptic number.

212809617400 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 212809617400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258373463040).

212809617400 is an abundant number, since it is smaller than the sum of its proper divisors (303937308680).

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

212809617400 is a wasteful number, since it uses less digits than its factorization.

212809617400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 212809617400 in words is "two hundred twelve billion, eight hundred nine million, six hundred seventeen thousand, four hundred".