212431411234400 has 72 divisors (see below), whose sum is σ = 520011257461920. Its totient is φ = 84741031503360.

The previous prime is 212431411234379. The next prime is 212431411234457. The reversal of 212431411234400 is 4432114134212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361476515 + ... + 362063714.

It is an arithmetic number, because the mean of its divisors is an integer number (7222378575860).

Almost surely, 2^{212431411234400} is an apocalyptic number.

212431411234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212431411234400 is an abundant number, since it is smaller than the sum of its proper divisors (307579846227520).

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

212431411234400 is a wasteful number, since it uses less digits than its factorization.

212431411234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723540616 (or 723540603 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 212431411234400 its reverse (4432114134212), we get a palindrome (216863525368612).

The spelling of 212431411234400 in words is "two hundred twelve trillion, four hundred thirty-one billion, four hundred eleven million, two hundred thirty-four thousand, four hundred".