212030400400 has 240 divisors, whose sum is σ = 637590441600. Its totient is φ = 65966100480.

The previous prime is 212030400391. The next prime is 212030400457. The reversal of 212030400400 is 4004030212.

212030400400 is digitally balanced in base 3, 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098236 + ... + 2196964.

It is an arithmetic number, because the mean of its divisors is an integer number (2656626840).

Almost surely, 2^212030400400 is an apocalyptic number.

212030400400 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 212030400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318795220800).

212030400400 is an abundant number, since it is smaller than the sum of its proper divisors (425560041200).

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

212030400400 is a wasteful number, since it uses less digits than its factorization.

212030400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98826 (or 98815 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212030400400 its reverse (4004030212), we get a palindrome (216034430612).

The spelling of 212030400400 in words is "two hundred twelve billion, thirty million, four hundred thousand, four hundred".