212104142400 has 168 divisors, whose sum is σ = 696431363040. Its totient is φ = 56516157440.

The previous prime is 212104142399. The next prime is 212104142401. The reversal of 212104142400 is 4241401212.

It is an interprime number because it is at equal distance from previous prime (212104142399) and next prime (212104142401).

It is not an unprimeable number, because it can be changed into a prime (212104142401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6256696 + ... + 6290504.

It is an arithmetic number, because the mean of its divisors is an integer number (4145424780).

Almost surely, 2^212104142400 is an apocalyptic number.

212104142400 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 212104142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348215681520).

212104142400 is an abundant number, since it is smaller than the sum of its proper divisors (484327220640).

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

212104142400 is a wasteful number, since it uses less digits than its factorization.

212104142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35141 (or 35126 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 212104142400 its reverse (4241401212), we get a palindrome (216345543612).

The spelling of 212104142400 in words is "two hundred twelve billion, one hundred four million, one hundred forty-two thousand, four hundred".