212414321400 has 48 divisors (see below), whose sum is σ = 658484398200. Its totient is φ = 56643818880.

The previous prime is 212414321381. The next prime is 212414321407. The reversal of 212414321400 is 4123414212.

212414321400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414321407) by changing a digit.

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, 177011335 + ... + 177012534.

Almost surely, 2^212414321400 is an apocalyptic number.

212414321400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414321400 is an abundant number, since it is smaller than the sum of its proper divisors (446070076800).

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

212414321400 is a wasteful number, since it uses less digits than its factorization.

212414321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354023888 (or 354023879 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212414321400 its reverse (4123414212), we get a palindrome (216537735612).

The spelling of 212414321400 in words is "two hundred twelve billion, four hundred fourteen million, three hundred twenty-one thousand, four hundred".