212134114400 has 72 divisors (see below), whose sum is σ = 557708773104. Its totient is φ = 78326438400.

The previous prime is 212134114393. The next prime is 212134114411. The reversal of 212134114400 is 4411431212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10188356 + ... + 10209155.

It is an arithmetic number, because the mean of its divisors is an integer number (7745955182).

Almost surely, 2^212134114400 is an apocalyptic number.

212134114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134114400 is an abundant number, since it is smaller than the sum of its proper divisors (345574658704).

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

212134114400 is a wasteful number, since it uses less digits than its factorization.

212134114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20397544 (or 20397531 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 212134114400 its reverse (4411431212), we get a palindrome (216545545612).

The spelling of 212134114400 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred fourteen thousand, four hundred".