212200010400 has 576 divisors, whose sum is σ = 834846566400. Its totient is φ = 45733662720.

The previous prime is 212200010387. The next prime is 212200010413. The reversal of 212200010400 is 4010002212.

It is an interprime number because it is at equal distance from previous prime (212200010387) and next prime (212200010413).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73095349 + ... + 73098251.

It is an arithmetic number, because the mean of its divisors is an integer number (1449386400).

Almost surely, 2^212200010400 is an apocalyptic number.

212200010400 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 212200010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417423283200).

212200010400 is an abundant number, since it is smaller than the sum of its proper divisors (622646556000).

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

212200010400 is a wasteful number, since it uses less digits than its factorization.

212200010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212200010400 its reverse (4010002212), we get a palindrome (216210012612).

The spelling of 212200010400 in words is "two hundred twelve billion, two hundred million, ten thousand, four hundred".