212414243133400 has 96 divisors (see below), whose sum is σ = 615725442478080. Its totient is φ = 66207036816000.

The previous prime is 212414243133319. The next prime is 212414243133403. The reversal of 212414243133400 is 4331342414212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414243133403) 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, 6896550936 + ... + 6896581735.

It is an arithmetic number, because the mean of its divisors is an integer number (6413806692480).

Almost surely, 2^{212414243133400} is an apocalyptic number.

212414243133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414243133400 is an abundant number, since it is smaller than the sum of its proper divisors (403311199344680).

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

212414243133400 is a wasteful number, since it uses less digits than its factorization.

212414243133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793132705 (or 13793132696 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 212414243133400 its reverse (4331342414212), we get a palindrome (216745585547612).

The spelling of 212414243133400 in words is "two hundred twelve trillion, four hundred fourteen billion, two hundred forty-three million, one hundred thirty-three thousand, four hundred".